Solve 2(a)^(2)-72 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2 { a }^{ 2 } -72$$

Factor

$2\left(a-6\right)\left(a+6\right)$

Solution Steps

Factor out $2$.

$$2\left(a^{2}-36\right)$$

Consider $a^{2}-36$. Rewrite $a^{2}-36$ as $a^{2}-6^{2}$. The difference of squares can be factored using the rule: $p^{2}-q^{2}=\left(p-q\right)\left(p+q\right)$.

$$\left(a-6\right)\left(a+6\right)$$

Rewrite the complete factored expression.

$$2\left(a-6\right)\left(a+6\right)$$

Evaluate

$2\left(a^{2}-36\right)$