Solve (x+4)*(x-2)*(x+1)*(x-3)

$$(x+4) \times (x-2) \times (x+1) \times (x-3)$$

Evaluate

$$\left(x-3\right)\left(x-2\right)\left(x+1\right)\left(x+4\right)$$

Solution Steps

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

$$\left(x^{2}-2x+4x-8\right)\left(x+1\right)\left(x-3\right)$$

Combine -2x and 4x to get 2x.

$$\left(x^{2}+2x-8\right)\left(x+1\right)\left(x-3\right)$$

Apply the distributive property by multiplying each term of x^{2}+2x-8 by each term of x+1.

$$\left(x^{3}+x^{2}+2x^{2}+2x-8x-8\right)\left(x-3\right)$$

Combine x^{2} and 2x^{2} to get 3x^{2}.

$$\left(x^{3}+3x^{2}+2x-8x-8\right)\left(x-3\right)$$

Combine 2x and -8x to get -6x.

$$\left(x^{3}+3x^{2}-6x-8\right)\left(x-3\right)$$

Apply the distributive property by multiplying each term of x^{3}+3x^{2}-6x-8 by each term of x-3.

$$x^{4}-3x^{3}+3x^{3}-9x^{2}-6x^{2}+18x-8x+24$$

Combine -3x^{3} and 3x^{3} to get 0.

$$x^{4}-9x^{2}-6x^{2}+18x-8x+24$$

Combine -9x^{2} and -6x^{2} to get -15x^{2}.

$$x^{4}-15x^{2}+18x-8x+24$$

Combine 18x and -8x to get 10x.

$$x^{4}-15x^{2}+10x+24$$

Expand

$$x^{4}-15x^{2}+10x+24$$

Solution Steps

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

$$\left(x^{2}-2x+4x-8\right)\left(x+1\right)\left(x-3\right)$$

Combine -2x and 4x to get 2x.

$$\left(x^{2}+2x-8\right)\left(x+1\right)\left(x-3\right)$$

Apply the distributive property by multiplying each term of x^{2}+2x-8 by each term of x+1.

$$\left(x^{3}+x^{2}+2x^{2}+2x-8x-8\right)\left(x-3\right)$$

Combine x^{2} and 2x^{2} to get 3x^{2}.

$$\left(x^{3}+3x^{2}+2x-8x-8\right)\left(x-3\right)$$

Combine 2x and -8x to get -6x.

$$\left(x^{3}+3x^{2}-6x-8\right)\left(x-3\right)$$

Apply the distributive property by multiplying each term of x^{3}+3x^{2}-6x-8 by each term of x-3.

$$x^{4}-3x^{3}+3x^{3}-9x^{2}-6x^{2}+18x-8x+24$$

Combine -3x^{3} and 3x^{3} to get 0.

$$x^{4}-9x^{2}-6x^{2}+18x-8x+24$$

Combine -9x^{2} and -6x^{2} to get -15x^{2}.

$$x^{4}-15x^{2}+18x-8x+24$$

Combine 18x and -8x to get 10x.

$$x^{4}-15x^{2}+10x+24$$