Solve 144m^6-121x^8y^4=

$$144 m ^ { 6 } - 121 x ^ { 8 } y ^ { 4 } =$$

Factor

$$\left(12m^{3}-11y^{2}x^{4}\right)\left(11y^{2}x^{4}+12m^{3}\right)$$

Solution Steps

Rewrite 144m^{6}-121x^{8}y^{4} as \left(12m^{3}\right)^{2}-\left(11x^{4}y^{2}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(12m^{3}-11x^{4}y^{2}\right)\left(12m^{3}+11x^{4}y^{2}\right)$$

Reorder the terms.

$$\left(-11y^{2}x^{4}+12m^{3}\right)\left(11y^{2}x^{4}+12m^{3}\right)$$

Evaluate

$$144m^{6}-121y^{4}x^{8}$$