Solve 5x ^ 2 * y ^ 2 - 500 | 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

$$5x^{2}y^{2}-500$$

Factor

$5\left(xy-10\right)\left(xy+10\right)$

Solution Steps

Factor out $5$.

$$5\left(x^{2}y^{2}-100\right)$$

Consider $x^{2}y^{2}-100$. Rewrite $x^{2}y^{2}-100$ as $\left(xy\right)^{2}-10^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(xy-10\right)\left(xy+10\right)$$

Rewrite the complete factored expression.

$$5\left(xy-10\right)\left(xy+10\right)$$

Evaluate

$5\left(\left(xy\right)^{2}-100\right)$