Question

Simplify each expression.


`\frac{2x - 16}{8x ^(3) + 56x {}^(2) } * (x + 7)/(x ^(2) - 7x - 8 )`
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Answer 1

`(1)/(4x^2\left(x+1\right))`

Explanation:

`(2x-16)/(8x^3+56x^2)\cdot (x+7)/(x^2-7x-8)`

You first factor things out.

`(x-8)/(4x^2\left(x+7\right))\cdot (x+7)/(x^2-7x-8)`

You then multiply. (Cancel common factor, X+7)

`(x-8)/(4x^2\left(x^2-7x-8\right))`

You factor again.

`(x-8)/(4x^2\left(x+1\right)\left(x-8\right))`

Then cancel out common fact x-8.

So therefore, you get the final answer,

`(1)/(4x^2\left(x+1\right))`

Answer 2

Answer:1

Step-by-step explanation: yea