Solve (z-4)(2z+1)(z+5)

$$( z - 4 ) ( 2 z + 1 ) ( z + 5 )$$

Evaluate

$$\left(z-4\right)\left(z+5\right)\left(2z+1\right)$$

Solution Steps

Apply the distributive property by multiplying each term of z-4 by each term of 2z+1.

$$\left(2z^{2}+z-8z-4\right)\left(z+5\right)$$

Combine z and -8z to get -7z.

$$\left(2z^{2}-7z-4\right)\left(z+5\right)$$

Apply the distributive property by multiplying each term of 2z^{2}-7z-4 by each term of z+5.

$$2z^{3}+10z^{2}-7z^{2}-35z-4z-20$$

Combine 10z^{2} and -7z^{2} to get 3z^{2}.

$$2z^{3}+3z^{2}-35z-4z-20$$

Combine -35z and -4z to get -39z.

$$2z^{3}+3z^{2}-39z-20$$

Expand

$$2z^{3}+3z^{2}-39z-20$$

Solution Steps

Apply the distributive property by multiplying each term of z-4 by each term of 2z+1.

$$\left(2z^{2}+z-8z-4\right)\left(z+5\right)$$

Combine z and -8z to get -7z.

$$\left(2z^{2}-7z-4\right)\left(z+5\right)$$

Apply the distributive property by multiplying each term of 2z^{2}-7z-4 by each term of z+5.

$$2z^{3}+10z^{2}-7z^{2}-35z-4z-20$$

Combine 10z^{2} and -7z^{2} to get 3z^{2}.

$$2z^{3}+3z^{2}-35z-4z-20$$

Combine -35z and -4z to get -39z.

$$2z^{3}+3z^{2}-39z-20$$