Solve 144a^2-64b^2

$$144 a ^ { 2 } - 64 b ^ { 2 }$$

Factor

$$16\left(3a-2b\right)\left(3a+2b\right)$$

Solution Steps

Factor out 16.

$$16\left(9a^{2}-4b^{2}\right)$$

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

$$\left(3a-2b\right)\left(3a+2b\right)$$

Rewrite the complete factored expression.

$$16\left(3a-2b\right)\left(3a+2b\right)$$

Evaluate

$$144a^{2}-64b^{2}$$