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 pleas.

Hey there!

GCF is 5x^2

Factoring it out: 5x^2 5x^2 ( x^4 ^2 - 4^2)

( x^4 ^2 - 4^2) is a difference of squares, so we can write that as 5x^2 ( x^4 -4)(x^4+4).

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

Let me know if this helps :)

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225