Question

factroise the question
x-64x³​

Answer 1

• Find the GCF.

$GCF=x$

• Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

$x(\frac{x}{x}+\frac{-64x^3}{x})$

• Simplify each term in parentheses.

$x(1-64x^2)$

• Rewrite $1-64x^2$ in the form of $a^2-b^2$, where $a=1$ and $b=8x$.

$x(1^2-(8x)^2)$

• Use Difference of Squares: $a^2-b^2=(a+b)(a-b)$.

$x(1+8x)(1-8x)$