Evaluate
\left(3x+1\right)\left(x^{2}-49\right)
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3x^{3}+x^{2}-147x-49
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\left(3x^{2}+x-21x-7\right)\left(x+7\right)
Apply the distributive property by multiplying each term of x-7 by each term of 3x+1.
\left(3x^{2}-20x-7\right)\left(x+7\right)
Combine x and -21x to get -20x.
3x^{3}+21x^{2}-20x^{2}-140x-7x-49
Apply the distributive property by multiplying each term of 3x^{2}-20x-7 by each term of x+7.
3x^{3}+x^{2}-140x-7x-49
Combine 21x^{2} and -20x^{2} to get x^{2}.
3x^{3}+x^{2}-147x-49
Combine -140x and -7x to get -147x.
\left(3x^{2}+x-21x-7\right)\left(x+7\right)
Apply the distributive property by multiplying each term of x-7 by each term of 3x+1.
\left(3x^{2}-20x-7\right)\left(x+7\right)
Combine x and -21x to get -20x.
3x^{3}+21x^{2}-20x^{2}-140x-7x-49
Apply the distributive property by multiplying each term of 3x^{2}-20x-7 by each term of x+7.
3x^{3}+x^{2}-140x-7x-49
Combine 21x^{2} and -20x^{2} to get x^{2}.
3x^{3}+x^{2}-147x-49
Combine -140x and -7x to get -147x.
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Limits
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