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PIT_PIT [208]
3 years ago
12

Name the algebraic property demonstrated in the example below. 3 • (x • y) = (3 • x) • y. A. Distributive Property B. Transitive

Property C. Associative Property of Multiplication D. Commutative Property of Multiplication
Mathematics
2 answers:
bezimeni [28]3 years ago
8 0
3 * (x * y) = (3 * x) * y
This is called the associative property of multiplication
Anika [276]3 years ago
7 0
I think the correct answer from the choices listed above is option C. The algebraic property demonstrated above would be the associative property of multiplication. It is stated in this property that you can add or multiply regardless of how you group the numbers.<span />
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(Y+3)(y^2-3y+9)<br><br> A. Y^3+27<br> B. Y^3-27<br> C. Y^3-6y^2+27<br> D. Y^3+6y^2+27
KonstantinChe [14]

Answer:

A) y^3+27

Step-by-step explanation:

There are two ways of solving this problem:

1. Recognizing this as the factored form of the sum of perfect cubes

2. Distribute and add the like terms.

1. In order to distribute we must multiply y by y^2-3y+9, and then 3 by y^2-3y+9:

(y+3)(y^2-3y+9)=y(y^2-3y+9)+3(y^2-3y+9)

y(y^2-3y+9)+3(y^2-3y+9)=y^3-3y^2+9y+3y^2-9y+27

After we add the positive and negative 3y^2 and 9y, they will cancel out and be gone entirely:

y^3-3y^2+9y+3y^2-9y+27=y^3+27

2. You know how you can factor the difference of perfect squares?

As an example:

a^2-b^2=(a+b)(a-b)

Well, not many people know this but you can actually factor both the sum and difference of perfect cubes:

a^3+b^3=(a+b)(a^2-ab+b^2)

a^3-b^3=(a-b)(a^2+ab+b^2)

Because we have these identities, we can easily establish here that we have the sum of perfect cubes, and that (y+3)(y^2-3y+9)= y^3+3^3 = y^3+27

6 0
3 years ago
What is the value of x?
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Answer:

47 degrees

Step-by-step explanation:

A shape always adds up to 180 so I added the two degrees and subtracted it from 180. You get the answer 47

3 0
2 years ago
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