Solve 25 - u ^ 2 * v ^ 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

$$25^{}-u^{2}v^{2}$$

Factor

$\left(-uv-5\right)\left(uv-5\right)$

Solution Steps

Multiply and combine like terms.

$$-u^{2}v^{2}+25$$

Rewrite $-u^{2}v^{2}+25$ as $5^{2}-\left(-uv\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(5+uv\right)\left(5-uv\right)$$

Reorder the terms.

$$\left(uv+5\right)\left(-uv+5\right)$$

Evaluate

$25-\left(uv\right)^{2}$