Solve (-5+h)^2(-5-1)

$$( - 5 + h ) ^ { 2 } ( - 5 - 1 )$$

Evaluate

$$-6\left(h-5\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-5+h\right)^{2}.

$$\left(25-10h+h^{2}\right)\left(-5-1\right)$$

Subtract 1 from -5 to get -6.

$$\left(25-10h+h^{2}\right)\left(-6\right)$$

Use the distributive property to multiply 25-10h+h^{2} by -6.

$$-150+60h-6h^{2}$$

Expand

$$-6h^{2}+60h-150$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-5+h\right)^{2}.

$$\left(25-10h+h^{2}\right)\left(-5-1\right)$$

Subtract 1 from -5 to get -6.

$$\left(25-10h+h^{2}\right)\left(-6\right)$$

Use the distributive property to multiply 25-10h+h^{2} by -6.

$$-150+60h-6h^{2}$$