Solve f(x)=4x(x+1)(x-2)

$$f ( x ) = 4 x ( x + 1 ) ( x - 2 )$$

Evaluate

$$4x\left(x-2\right)\left(x+1\right)$$

Solution Steps

Use the distributive property to multiply 4x by x+1.

$$\left(4x^{2}+4x\right)\left(x-2\right)$$

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

$$4x^{3}-8x^{2}+4x^{2}-8x$$

Combine -8x^{2} and 4x^{2} to get -4x^{2}.

$$4x^{3}-4x^{2}-8x$$

Expand

$$4x^{3}-4x^{2}-8x$$

Solution Steps

Use the distributive property to multiply 4x by x+1.

$$\left(4x^{2}+4x\right)\left(x-2\right)$$

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

$$4x^{3}-8x^{2}+4x^{2}-8x$$

Combine -8x^{2} and 4x^{2} to get -4x^{2}.

$$4x^{3}-4x^{2}-8x$$