Solve 8a(x)^(2)-2a | 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

$$8a { x }^{ 2 } -2a$$

Factor

$2a\left(2x-1\right)\left(2x+1\right)$

Solution Steps

Factor out $2$.

$$2\left(4ax^{2}-a\right)$$

Consider $4ax^{2}-a$. Factor out $a$.

$$a\left(4x^{2}-1\right)$$

Consider $4x^{2}-1$. Rewrite $4x^{2}-1$ as $\left(2x\right)^{2}-1^{2}$. The difference of squares can be factored using the rule: $p^{2}-q^{2}=\left(p-q\right)\left(p+q\right)$.

$$\left(2x-1\right)\left(2x+1\right)$$

Rewrite the complete factored expression.

$$2a\left(2x-1\right)\left(2x+1\right)$$

Evaluate

$8ax^{2}-2a$