Solve 192(x)^(2)-147(y)^(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

$$192 { x }^{ 2 } -147 { y }^{ 2 }$$

Factor

$3\left(8x-7y\right)\left(8x+7y\right)$

Solution Steps

Factor out $3$.

$$3\left(64x^{2}-49y^{2}\right)$$

Consider $64x^{2}-49y^{2}$. Rewrite $64x^{2}-49y^{2}$ as $\left(8x\right)^{2}-\left(7y\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(8x-7y\right)\left(8x+7y\right)$$

Rewrite the complete factored expression.

$$3\left(8x-7y\right)\left(8x+7y\right)$$

Evaluate

$192x^{2}-147y^{2}$