Solve 2(a)^(2)x-4abx+2(b)^(2)x | 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

$$2 { a }^{ 2 } x-4abx+2 { b }^{ 2 } x$$

Factor

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

Solution Steps

Factor out $2$.

$$2\left(a^{2}x-2abx+b^{2}x\right)$$

Consider $a^{2}x-2abx+b^{2}x$. Factor out $x$.

$$x\left(a^{2}-2ab+b^{2}\right)$$

Consider $a^{2}-2ab+b^{2}$. Use the perfect square formula, $p^{2}-2pq+q^{2}=\left(p-q\right)^{2}$, where $p=a$ and $q=b$.

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

Rewrite the complete factored expression.

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

Evaluate

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