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Dafna11 [192]
3 years ago
15

How would you write y = –3x2 + 12x – 21 in vertex form?

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
The vertex form of that expression would be y = 3 ( x +2 )squared - 25. This is done by transporting first the -21 to the other side then simplifying the 3(x2 + 4x). Then making the "x2 + 4x" a perfect binomial we need to add 4 and that makes it "x2 + 4x + 4". Then after that we now have the vertex form of <span>y = 3 ( x +2 )squared - 25</span> 
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Write as an expression and simplify
Alexus [3.1K]

Answer:

Part a) (2m+7n)(2m-7n)

Part b) x^2-16xy+64y^2

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Part d)  (a^2-b^2)

Step-by-step explanation:

Part a) The difference of the squares of 2m and 7n.

we know that

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substitute

(2m)^2-(7n)^2=(2m+7n)(2m-7n)

Part b) The square of the difference of x and 8y

The formula of the square of the difference between two numbers is equal to

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substitute

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Part c) The tripled product of 6a and b^2

we have

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Part d) The product of the sum of a and b and their difference

The expression is equal to

(a+b)(a-b)

The expression represent the difference of the squares between a and b

so

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

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