Question

Given the expression: 6x10 − 96x2

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.

Answer 1

Step-by-step explanation:

Part A:

I'm going to assume you meant to write 6x^10 - 96x^2. Based off that assumption you can factor out 6 from both equations as well as x^2.

This is going to give you

$6x^2(x^8-16)$. I

Part B:

if you look at the inside, both of the values are perfect squares (if the exponent is even, it's a perfect square). So the equation can further be rewritten using the difference of squares

$6x^2(x^4-4)(x^4+4)$

If you look at the expression, you'll notice one of the equations can further be rewritten as the difference of squares (x^4 - 4).

$6x^2(x^2-2)(x^2+2)(x^4+4)$