Evaluate
\left(2a+7\right)\left(4a^{2}+14a+49\right)
Expand
8a^{3}+56a^{2}+196a+343
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\left(2a+7\right)\left(4a^{2}+7a+7\left(a+7\right)\right)
Use the distributive property to multiply 4a+7 by a.
\left(2a+7\right)\left(4a^{2}+7a+7a+49\right)
Use the distributive property to multiply 7 by a+7.
\left(2a+7\right)\left(4a^{2}+14a+49\right)
Combine 7a and 7a to get 14a.
8a^{3}+28a^{2}+98a+28a^{2}+98a+343
Apply the distributive property by multiplying each term of 2a+7 by each term of 4a^{2}+14a+49.
8a^{3}+56a^{2}+98a+98a+343
Combine 28a^{2} and 28a^{2} to get 56a^{2}.
8a^{3}+56a^{2}+196a+343
Combine 98a and 98a to get 196a.
\left(2a+7\right)\left(4a^{2}+7a+7\left(a+7\right)\right)
Use the distributive property to multiply 4a+7 by a.
\left(2a+7\right)\left(4a^{2}+7a+7a+49\right)
Use the distributive property to multiply 7 by a+7.
\left(2a+7\right)\left(4a^{2}+14a+49\right)
Combine 7a and 7a to get 14a.
8a^{3}+28a^{2}+98a+28a^{2}+98a+343
Apply the distributive property by multiplying each term of 2a+7 by each term of 4a^{2}+14a+49.
8a^{3}+56a^{2}+98a+98a+343
Combine 28a^{2} and 28a^{2} to get 56a^{2}.
8a^{3}+56a^{2}+196a+343
Combine 98a and 98a to get 196a.
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