Type a math problem

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Type a math problem

Evaluate

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

$(x−3)(x−1)(x+2)$

Solution Steps

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

$(x−3)(x+2)(x−1)$

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

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

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

$(x_{2}+2x−3x−6)(x−1)$

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

Combine $2x$ and $−3x$ to get $−x$.

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

$(x_{2}−x−6)(x−1)$

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

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-6x+6

$x_{3}−x_{2}−x_{2}+x−6x+6$

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

Combine $−x_{2}$ and $−x_{2}$ to get $−2x_{2}$.

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

$x_{3}−2x_{2}+x−6x+6$

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

Combine $x$ and $−6x$ to get $−5x$.

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

$x_{3}−2x_{2}−5x+6$

Expand

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

$x_{3}−2x_{2}−5x+6$

Solution Steps

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

$(x−3)(x+2)(x−1)$

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

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

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

$(x_{2}+2x−3x−6)(x−1)$

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

Combine $2x$ and $−3x$ to get $−x$.

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

$(x_{2}−x−6)(x−1)$

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

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-6x+6

$x_{3}−x_{2}−x_{2}+x−6x+6$

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

Combine $−x_{2}$ and $−x_{2}$ to get $−2x_{2}$.

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

$x_{3}−2x_{2}+x−6x+6$

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

Combine $x$ and $−6x$ to get $−5x$.

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

$x_{3}−2x_{2}−5x+6$

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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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