Evaluate
\left(x-4\right)\left(x+3\right)\left(x+7\right)
Expand
x^{3}+6x^{2}-19x-84
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\left(x^{2}+7x+3x+21\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x+3 by each term of x+7.
\left(x^{2}+10x+21\right)\left(x-4\right)
Combine 7x and 3x to get 10x.
x^{3}-4x^{2}+10x^{2}-40x+21x-84
Apply the distributive property by multiplying each term of x^{2}+10x+21 by each term of x-4.
x^{3}+6x^{2}-40x+21x-84
Combine -4x^{2} and 10x^{2} to get 6x^{2}.
x^{3}+6x^{2}-19x-84
Combine -40x and 21x to get -19x.
\left(x^{2}+7x+3x+21\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x+3 by each term of x+7.
\left(x^{2}+10x+21\right)\left(x-4\right)
Combine 7x and 3x to get 10x.
x^{3}-4x^{2}+10x^{2}-40x+21x-84
Apply the distributive property by multiplying each term of x^{2}+10x+21 by each term of x-4.
x^{3}+6x^{2}-40x+21x-84
Combine -4x^{2} and 10x^{2} to get 6x^{2}.
x^{3}+6x^{2}-19x-84
Combine -40x and 21x to get -19x.
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Limits
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