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andrey2020 [161]
3 years ago
7

Given the expression: 5x10 − 80x2 Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the

entire expression completely. Show the steps of your work.
Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)

Step-by-step explanation:

5x^10 − 80x^2

The greatest common factor is 5x^2

5x^2 ( x^8 - 16)

Rewriting the parentheses

5x^2 ( x^4 ^2 - 4^2)

We notice the difference of squares (a^2 -b^2) = (a-b)(a+b)

5x^2 ( x^4 -4)(x^4+4)

Again rewriting the first parentheses

5x^2 ( x^2 ^2 -2^2)(x^4+4)

5x^2 ( x^2 -2)(x^2 +2)(x^4+4)

The last term can be rewritten as(x^2+2x+2)(x^2-2x+2)

5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)

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The equation that is given is only for the specific place of that object. To find the velocity, you need to take the derivative of the equation. This will give you:

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