Solve h^2-6h-4k^2-12k

$$h ^ { 2 } - 6 h - 4 k ^ { 2 } - 12 k$$

Factor

$$\left(h-2k-6\right)\left(h+2k\right)$$

Solution Steps

Consider h^{2}-6h-4k^{2}-12k as a polynomial over variable h.

$$h^{2}-6h-4k^{2}-12k$$

Find one factor of the form h^{m}+n, where h^{m} divides the monomial with the highest power h^{2} and n divides the constant factor -4k^{2}-12k. One such factor is h+2k. Factor the polynomial by dividing it by this factor.

$$\left(h+2k\right)\left(h-2k-6\right)$$

Evaluate

$$\left(h-2k-6\right)\left(h+2k\right)$$