Evaluate
\left(x+1\right)\left(x+2\right)\left(x+6\right)\left(2x+3\right)-20x^{2}
Expand
2x^{4}+21x^{3}+47x^{2}+84x+36
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\left(x^{2}+3x+2\right)\left(2x+3\right)\left(x+6\right)-20x^{2}
Use the distributive property to multiply x+1 by x+2 and combine like terms.
\left(2x^{3}+9x^{2}+13x+6\right)\left(x+6\right)-20x^{2}
Use the distributive property to multiply x^{2}+3x+2 by 2x+3 and combine like terms.
2x^{4}+21x^{3}+67x^{2}+84x+36-20x^{2}
Use the distributive property to multiply 2x^{3}+9x^{2}+13x+6 by x+6 and combine like terms.
2x^{4}+21x^{3}+47x^{2}+84x+36
Combine 67x^{2} and -20x^{2} to get 47x^{2}.
\left(x^{2}+3x+2\right)\left(2x+3\right)\left(x+6\right)-20x^{2}
Use the distributive property to multiply x+1 by x+2 and combine like terms.
\left(2x^{3}+9x^{2}+13x+6\right)\left(x+6\right)-20x^{2}
Use the distributive property to multiply x^{2}+3x+2 by 2x+3 and combine like terms.
2x^{4}+21x^{3}+67x^{2}+84x+36-20x^{2}
Use the distributive property to multiply 2x^{3}+9x^{2}+13x+6 by x+6 and combine like terms.
2x^{4}+21x^{3}+47x^{2}+84x+36
Combine 67x^{2} and -20x^{2} to get 47x^{2}.
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