Solve 63a ^ 2 - 112b ^ 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

$$63a^{2}-112\ b^{2}$$

Factor

$7\left(3a-4b\right)\left(3a+4b\right)$

Solution Steps

Factor out $7$.

$$7\left(9a^{2}-16b^{2}\right)$$

Consider $9a^{2}-16b^{2}$. Rewrite $9a^{2}-16b^{2}$ as $\left(3a\right)^{2}-\left(4b\right)^{2}$. The difference of squares can be factored using the rule: $p^{2}-q^{2}=\left(p-q\right)\left(p+q\right)$.

$$\left(3a-4b\right)\left(3a+4b\right)$$

Rewrite the complete factored expression.

$$7\left(3a-4b\right)\left(3a+4b\right)$$

Evaluate

$63a^{2}-112b^{2}$