How do you factor 4x^2-36?

Dec 6, 2015

The factors of $4 {x}^{2} - 36$ are $4 \mathmr{and} {x}^{2} - 9$

Explanation:

$4 {x}^{2} - 36$
Taking 4 common we get$4 \left({x}^{2} - 9\right)$
The factors of $4 {x}^{2} - 36$ are $4 \mathmr{and} {x}^{2} - 9$

${x}^{2} - 9$ can be factorised further
The factors of ${x}^{2} - 9$ are $\left(x + 3\right) \mathmr{and} \left(x - 3\right)$