Solve (x)^(4)-49(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

$${ x }^{ 4 } -49 { x }^{ 2 }$$

Factor

$\left(x-7\right)\left(x+7\right)x^{2}$

Solution Steps

Factor out $x^{2}$.

$$x^{2}\left(x^{2}-49\right)$$

Consider $x^{2}-49$. Rewrite $x^{2}-49$ as $x^{2}-7^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(x-7\right)\left(x+7\right)$$

Rewrite the complete factored expression.

$$x^{2}\left(x-7\right)\left(x+7\right)$$

Evaluate

$x^{2}\left(x^{2}-49\right)$