Solve (4(x)^(2)-100) | 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

$$(4 { x }^{ 2 } -100)$$

Factor

$4\left(x-5\right)\left(x+5\right)$

Solution Steps

Factor out $4$.

$$4\left(x^{2}-25\right)$$

Consider $x^{2}-25$. Rewrite $x^{2}-25$ as $x^{2}-5^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(x-5\right)\left(x+5\right)$$

Rewrite the complete factored expression.

$$4\left(x-5\right)\left(x+5\right)$$

Evaluate

$4\left(x^{2}-25\right)$