Question

How would I solve this?

Answer 1

`factor \ x^5-81x`


`The \ Greatest \ Common \ Factor \ (GCF) \ is \ x`


`Factor \ out \ the \ GCF`


`x( (x^5)/(x) + (-18x)/(x))`


`x(x^4-81)`
`Simplify \ each \ term \ in \ parentheses`


`Rewrite \ it \ where \ a=x^2 \ and \ b=9`


`x((x^2)2-9^2)`


`Use \ Difference \ of \ Squares : a^2-b^2=(a+b)(a-b)`


`x(x^2+9)(x^2-9)`


`Rewrite \ it \ where \ a=x \ and \ b=3`


`x(x^2+9)(x^2-3^2)`


`Use \ Difference \ of \ Squares : a^2-b^2=(a+b)(a-b)`


`x(x^2+9)(x+3)(x-3)`