Evaluate
\left(x-2\right)\left(x+7\right)^{2}
Expand
x^{3}+12x^{2}+21x-98
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\left(x-2\right)\left(x+7\right)^{2}
Multiply x+7 and x+7 to get \left(x+7\right)^{2}.
\left(x-2\right)\left(x^{2}+14x+49\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
x^{3}+14x^{2}+49x-2x^{2}-28x-98
Apply the distributive property by multiplying each term of x-2 by each term of x^{2}+14x+49.
x^{3}+12x^{2}+49x-28x-98
Combine 14x^{2} and -2x^{2} to get 12x^{2}.
x^{3}+12x^{2}+21x-98
Combine 49x and -28x to get 21x.
\left(x-2\right)\left(x+7\right)^{2}
Multiply x+7 and x+7 to get \left(x+7\right)^{2}.
\left(x-2\right)\left(x^{2}+14x+49\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
x^{3}+14x^{2}+49x-2x^{2}-28x-98
Apply the distributive property by multiplying each term of x-2 by each term of x^{2}+14x+49.
x^{3}+12x^{2}+49x-28x-98
Combine 14x^{2} and -2x^{2} to get 12x^{2}.
x^{3}+12x^{2}+21x-98
Combine 49x and -28x to get 21x.
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