Evaluate
6x\left(x+3\right)\left(6x+7\right)
Expand
36x^{3}+150x^{2}+126x
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\left(6x^{2}+18x\right)\left(6x+8\right)-6x\left(x+3\right)
Use the distributive property to multiply 2x by 3x+9.
36x^{3}+48x^{2}+108x^{2}+144x-6x\left(x+3\right)
Apply the distributive property by multiplying each term of 6x^{2}+18x by each term of 6x+8.
36x^{3}+156x^{2}+144x-6x\left(x+3\right)
Combine 48x^{2} and 108x^{2} to get 156x^{2}.
36x^{3}+156x^{2}+144x-6x^{2}-18x
Use the distributive property to multiply -6x by x+3.
36x^{3}+150x^{2}+144x-18x
Combine 156x^{2} and -6x^{2} to get 150x^{2}.
36x^{3}+150x^{2}+126x
Combine 144x and -18x to get 126x.
\left(6x^{2}+18x\right)\left(6x+8\right)-6x\left(x+3\right)
Use the distributive property to multiply 2x by 3x+9.
36x^{3}+48x^{2}+108x^{2}+144x-6x\left(x+3\right)
Apply the distributive property by multiplying each term of 6x^{2}+18x by each term of 6x+8.
36x^{3}+156x^{2}+144x-6x\left(x+3\right)
Combine 48x^{2} and 108x^{2} to get 156x^{2}.
36x^{3}+156x^{2}+144x-6x^{2}-18x
Use the distributive property to multiply -6x by x+3.
36x^{3}+150x^{2}+144x-18x
Combine 156x^{2} and -6x^{2} to get 150x^{2}.
36x^{3}+150x^{2}+126x
Combine 144x and -18x to get 126x.
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