Solve 80-3(4+h)^2=

$$80 - 3 ( 4 + h ) ^ { 2 } =$$

Evaluate

$$-3\left(h+4\right)^{2}+80$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4+h\right)^{2}.

$$80-3\left(16+8h+h^{2}\right)$$

Use the distributive property to multiply -3 by 16+8h+h^{2}.

$$80-48-24h-3h^{2}$$

Subtract 48 from 80 to get 32.

$$32-24h-3h^{2}$$

Expand

$$32-24h-3h^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4+h\right)^{2}.

$$80-3\left(16+8h+h^{2}\right)$$

Use the distributive property to multiply -3 by 16+8h+h^{2}.

$$80-48-24h-3h^{2}$$

Subtract 48 from 80 to get 32.

$$32-24h-3h^{2}$$