Solve (x-3)(x+2)(x-1) | Microsoft Math Solver

Type a math problem

Evaluate

(x - 3) (x - 1) (x + 2)

Solution Steps

(x - 3) (x + 2) (x - 1)

Apply the distributive property by multiplying each term of

x - 3

by each term of

x + 2

(x^{2} + 2 x - 3 x - 6) (x - 1)

Combine

2 x

and

- 3 x

to get

- x

(x^{2} - x - 6) (x - 1)

Apply the distributive property by multiplying each term of

x^{2} - x - 6

by each term of

x - 1

x^{3} - x^{2} - x^{2} + x - 6 x + 6

Combine

- x^{2}

and

- x^{2}

to get

- 2 x^{2}

x^{3} - 2 x^{2} + x - 6 x + 6

Combine

x

and

- 6 x

to get

- 5 x

x^{3} - 2 x^{2} - 5 x + 6

Expand

x^{3} - 2 x^{2} - 5 x + 6

Solution Steps

(x - 3) (x + 2) (x - 1)

Apply the distributive property by multiplying each term of

x - 3

by each term of

x + 2

(x^{2} + 2 x - 3 x - 6) (x - 1)

Combine

2 x

and

- 3 x

to get

- x

(x^{2} - x - 6) (x - 1)

Apply the distributive property by multiplying each term of

x^{2} - x - 6

by each term of

x - 1

x^{3} - x^{2} - x^{2} + x - 6 x + 6

Combine

- x^{2}

and

- x^{2}

to get

- 2 x^{2}

x^{3} - 2 x^{2} + x - 6 x + 6

Combine

x

and

- 6 x

to get

- 5 x

x^{3} - 2 x^{2} - 5 x + 6

Graph

Quiz

Polynomial

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(x - 3) (x + 2) (x - 1)

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\left(x^{2}+2x-3x-6\right)\left(x-1\right)

Apply the distributive property by multiplying each term of x-3 by each term of x+2.

\left(x^{2}-x-6\right)\left(x-1\right)

Combine 2x and -3x to get -x.

x^{3}-x^{2}-x^{2}+x-6x+6

Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.

x^{3}-2x^{2}+x-6x+6

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

x^{3}-2x^{2}-5x+6

Combine x and -6x to get -5x.

\left(x^{2}+2x-3x-6\right)\left(x-1\right)

Apply the distributive property by multiplying each term of x-3 by each term of x+2.

\left(x^{2}-x-6\right)\left(x-1\right)

Combine 2x and -3x to get -x.

x^{3}-x^{2}-x^{2}+x-6x+6

Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.

x^{3}-2x^{2}+x-6x+6

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

x^{3}-2x^{2}-5x+6

Combine x and -6x to get -5x.

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