Solve 2-18(x)^(2) | 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

$$2-18 { x }^{ 2 }$$

Factor

$2\left(-3x-1\right)\left(3x-1\right)$

Solution Steps

Factor out $2$.

$$2\left(1-9x^{2}\right)$$

Consider $1-9x^{2}$. Rewrite $1-9x^{2}$ as $1^{2}-\left(3x\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(1-3x\right)\left(1+3x\right)$$

Reorder the terms.

$$\left(-3x+1\right)\left(3x+1\right)$$

Rewrite the complete factored expression.

$$2\left(-3x+1\right)\left(3x+1\right)$$

Evaluate

$2-18x^{2}$