Solve -6left(c+hright)^2

$$-6 { \left(c+h \right) }^{ 2 }$$

Expand

$$-6c^{2}-12ch-6h^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(c+h\right)^{2}.

$$-6\left(c^{2}+2ch+h^{2}\right)$$

Use the distributive property to multiply -6 by c^{2}+2ch+h^{2}.

$$-6c^{2}-12ch-6h^{2}$$

Evaluate

$$-6\left(c+h\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(c+h\right)^{2}.

$$-6\left(c^{2}+2ch+h^{2}\right)$$

Use the distributive property to multiply -6 by c^{2}+2ch+h^{2}.

$$-6c^{2}-12ch-6h^{2}$$