1.Given (a-b)(a+b), make a pattern of the product. 2.Given (a-b)(a-b), make a pattern of the product. 3.Given (a+b)(a+b), make a pattern of the product.
1. 1.Given (a-b)(a+b), make a pattern of the product. 2.Given (a-b)(a-b), make a pattern of the product. 3.Given (a+b)(a+b), make a pattern of the product.
SPECIAL PRODUCTS
⊱⋅ ────────────────────── ⋅⊰
➣ DIRECTIONS:Make a pattern for the following special products.
[tex] \sf (a-b)(a+b) [/tex][tex] \sf (a-b)(a-b) [/tex][tex] \sf (a+b)(a+b) [/tex]➣ ANSWERS: [tex] \sf (a-b)(a+b) = {\green {a^2 - b^2} } [/tex][tex] \sf (a-b)(a-b) = {\green {a^2 - 2ab + b^2} } [/tex][tex] \sf (a+b)(a+b) = {\green {a^2 + 2ab + b^2} } [/tex]⊱⋅ ────────────────────── ⋅⊰
➣ SOLUTION:The patterns for special products can be proved by multiplying the polynomial factors itself using the distributive property of multiplication, or for the case of two binomials — the FOIL method.
#1. [tex] \sf (a-b)(a+b) [/tex]FIRST: [tex] \sf a \cdot a = a^2 [/tex]OUTER: [tex] \sf a \cdot b = ab [/tex]INNER: [tex] \sf -b \cdot a = -ab [/tex]LAST: [tex] \sf b \cdot -b = -b^2 [/tex][tex] \rightarrow \sf a^2 + ab - ab - b^2 [/tex]
[tex] \rightarrow \underline {\green{\sf{a^2 - b^2}}} \: »\: \footnotesize{\textsf{Resulting Pattern}} [/tex]
──────────────────────────
#2. [tex] \sf (a-b)(a-b) [/tex]FIRST: [tex] \sf a \cdot a = a^2 [/tex]OUTER: [tex] \sf a \cdot -b = -ab [/tex]INNER: [tex] \sf -b \cdot a = -ab [/tex]LAST: [tex] \sf -b \cdot -b = b^2 [/tex][tex] \rightarrow \sf a^2 - ab - ab + b^2 [/tex]
[tex] \rightarrow \underline {\green{\sf{a^2 - 2ab + b^2}}} \: »\: \footnotesize{\textsf{Resulting Pattern}} [/tex]
──────────────────────────
#3. [tex] \sf (a+b)(a+b) [/tex]FIRST: [tex] \sf a \cdot a = a^2 [/tex]OUTER: [tex] \sf a \cdot b = ab [/tex]INNER: [tex] \sf b \cdot a = ab [/tex]LAST: [tex] \sf b \cdot b = b^2 [/tex][tex] \rightarrow \sf a^2 + ab + ab + b^2 [/tex]
[tex] \rightarrow \underline {\green{\sf{a^2 + 2ab + b^2}}} \: »\: \footnotesize{\textsf{Resulting Pattern}} [/tex]
⊱⋅ ────────────────────── ⋅⊰
2. Is there a pattern for the products of the product of (×+3) (×-3).explain.
Answer:
Hi i dont nkow but im sorry
Step-by-step explanation:
The explain is i dont know
3. : What is the rule of the pattern in getting each term of the product?what is the rule of the pattern in getting each term of the product
one rule of the product is don't open the product because hmm.damage
4. it is a general pattern of the product of the cube of binomial
Answer:
To cube a binomial, multiply it times itself three times. This will require a two step process.
Step-by-step explanation:
;(
5. how helpful the pattern is in getting the special product
Answer:
(a + b)(a + b) = a^2 + ab + ab + b^2 = a^2 + 2ab + b^2. This is illustrated in the following image. We can use this formula anytime we are multiplying a binomial of the form a + b by itself.
Step-by-step explanation:
In other words, when you have a binomial squared, you end up with the first term squared plus (or minus) twice the product of the two terms plus the last term squared. Any time you have a binomial squared you can use this shortcut method to find your product. This is a special products rule
6. 13. How can we determine the product of these two binomials, (3x + 5y) (5- 3y)? O The product of sum and difference pattern 0 Using the FOIL Method o squaring a binomial pattern O cube of a binomial pattern
Answer:
(3x)(5)=15x
(3x)(-3y)=-9xy
(5y)(5)=25y
(5y)(-3y)=-15y²
-15y²-9xy+15x+25y
Step-by-step explanation:
7. is there a pattern for the product of these foactors? explain
Answer:
yess,,because we can also determined the end behavior of a polynomial function from its equation..
yan lng po..☺️
8. Give the details of the product such as color,pattern and etc.
Answer:
it is made of black ball like jolen and made of fake diamond and it is made up of different colors that make it beautiful
Explanation:
yan lng po na isip ko
9. The step of the sum-product pattern
Answer:
The Product Sum method of factoring we use on trinomials (ax2+bx+c) with the value of a=1. This is the method that is probably used the most.
example: x2+7x+12 The product is the a value times the c value. In this case 12.
The sum is the b value. In this case 7.
Find the two numbers that multiply to 12 (the product) andadd to 7 (the sum). +4 and +3
These are your two factors. In your two binomials put the x in front and the factors in the back. (x+4)(x+3)
This is your factored expression. To check FOIL back out.
Why does this work???
example:
x2-4x-12
p= -12
s= -4 factors are -6 and +2
so factored answer is (x-6)(x+2)
example:
I'm thinking of a number that could be solved by x2+10x+16=0. What could the number be?
p=16
s=10 factors are +8 and +2
(x+8)(x+2)=0
so either x+8=0 or x+2=0 so either x= -8 or -2 is the
number.
pa brainliest kung sa tingin mo ay tama
10. do you see any pattern in the product
what are your observations on the expressions in column A? compare them with those in column B?
11. What is the pattern of marble products?
It consists chiefly of calcite or dolomite, or a combination of these carbonate minerals. Marble is a type of metamorphic rock formed from limestone. Impurities present in the limestone during recrystallisation affect the mineral composition of the marble that forms.
12. which packaging products is important like when making a rectangular box that can be unfolded?a. pattern b. product packaging c. pattern development d. surface development
Answer:
B. Product Packaging
Explanation:
correct me if im wrong :)
13. find the product and look for the pattern (a-b) (a+b)
Answer:
The pattern is a^2 - b^2.
14. How are patterns used in designing products for industry?
Answer:
Use patterns to minimize the work the brain needs to do and make your products simple and easy to use. A product is often linked to other systems that in turn have an effect on how the product works and how users see it.
#markmebrainliest
#carryonlearning<3
15. creating lights and dark pattern on the surface of a product is
Answer:
ShadingExplanation:
1. Creating lights and dark pattern on the surface of a product is shading
hope it helps!!✌correct me if i'm wrong16. What patterns in finding the special product?
Answer:
These special product formulas are as follows: (a + b)(a + b) = a^2 + 2ab + b^2. (a - b)(a - b) = a^2 - 2ab + b^2. (a + b)(a - b) = a^2 - b^2.
Explanation:
Certain binomial products have special forms. When a binomial is squared, the result is called a perfect square trinomial.
PA BRAINLIEST PO,THANKUU <33
17. what are the patterns of a special products of a binomial
So when we multiply binomials we get ... Binomial Products!
And we will look at three special cases of multiplying binomials ... so they are Special Binomial Products.
18. What conducting producting is appropriate for this rhythm pattern
Answer:
A
Explanation:
19. why patterns is better to use in finding products
Cause its much more easier
20. why patterns is better to use in finding products
For you- for us to get the answers easily. Without the patterns help, we couldn't get the answers that easily.
21. C. MELC'S: Uses models and algebraic methods to find the: (a) product of two binomials; (b) product of the sum and difference of two terms; (c) square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial. Write the pattern of the Special Products and give one example in each pattern. Describe Special Products Square of a Binomial Square of a trinomial Sum & Difference of two Binomials Cube of a Binomial The Hamburger ParagraphWrite the pattern of. the example in each pattern.advance thankyou!
Answer:
The Special Products are algebraic techniques that are used to find the product of two or more terms. The Special Products include:
(a) The product of two binomials: This is the product of two algebraic expressions that each have two terms. For example, the product of (x+y) and (a+b) is (x+y)(a+b) = xa + xb + ya + yb.
(b) The product of the sum and difference of two terms: This is the product of an algebraic expression that is the sum of two terms and another expression that is the difference of the same two terms. For example, the product of (x+y) and (x-y) is (x+y)(x-y) = x^2 - y^2.
(c) The square of a binomial: This is the product of a binomial and itself. For example, the square of (x+y) is (x+y)^2 = x^2 + 2xy + y^2.
(d) The cube of a binomial: This is the product of a binomial and itself twice. For example, the cube of (x+y) is (x+y)^3 = x^3 + 3x^2y + 3xy^2 + y^3.
(e) The product of a binomial and a trinomial: This is the product of an algebraic expression that has two terms and another expression that has three terms. For example, the product of (x+y) and (a+b+c) is (x+y)(a+b+c) = xa + xb + xc + ya + yb + yc.
In the Special Products, the pattern is to multiply the terms of one expression by the terms of the other expression, resulting in a new expression with the sum of the product of each pair of terms. For example, in the product of two binomials, the pattern is to multiply each term of the first binomial by each term of the second binomial, resulting
Step-by-step explanation:
huh!?
22. what are the four factors affecting the production patterns
Answer:
1.land
2.labor
3.capital
4.entrepreneurship
23. The pattern (x + y)³ gives the product that contains ____
Answer:
binomials
according to what I read
24. How are products obtained through patterns?
Products are just something like skip counting. For example, 5x4 = 5+5+5+5
which is 20. It is just the same either way.
25. cropping pattern must be considered in crop production
Answer:
Yes
Explanation:
Farmers need to answer all the below questions while making decisions for choosing a crop/ cropping pattern. During this decision making process, farmers cross check the suitability of proposed crop/cropping systems with their existing resources and other conditions.
26. Is there a pattern for the products of these factors? Explain.
Answer:
YESStep-by-step explanation:
#CarryOnLearning27. What are the product that are obtained through patterns?
Answer:
Click the Picture!
Pa Follow po , Thank You!
-FretzyCayanong
28. Is there a pattern for the products of these factors? Explain
Answer:
WALA NAMAN PO AKONG MAKITANG FACTORS!!
BUT MERRY CHRISTMAS!!
Santa Clouse is hete on Christmas
29. How are production production patterns directly Connected to climate change?
Answer:
Food system activities, including producing food, transporting it, and storing wasted food in landfills, produce greenhouse gas (GHG) emissions that contribute to climate change.
30. is there a pattern for the product of this structure explain
Answer:
çhìnanggo po tas honngok
Answer:
nasan po ang picture ayusin nyopo ang oagtataning nyopo
