Solve 4m^2k-16r^2k

$$4 m ^ { 2 } k - 16 r ^ { 2 } k$$

Factor

$$4k\left(m-2r\right)\left(m+2r\right)$$

Solution Steps

Factor out 4.

$$4\left(m^{2}k-4r^{2}k\right)$$

Consider m^{2}k-4r^{2}k. Factor out k.

$$k\left(m^{2}-4r^{2}\right)$$

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

$$\left(m-2r\right)\left(m+2r\right)$$

Rewrite the complete factored expression.

$$4k\left(m-2r\right)\left(m+2r\right)$$

Evaluate

$$4k\left(m^{2}-4r^{2}\right)$$