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

$$-4 { x }^{ 2 } +4$$

Factor

$4\left(-x-1\right)\left(x-1\right)$

Solution Steps

Factor out $4$.

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

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

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

Reorder the terms.

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

Rewrite the complete factored expression.

$$4\left(-x+1\right)\left(x+1\right)$$

Evaluate

$4-4x^{2}$