Evaluate
3z\left(z-2\right)\left(2z+7\right)
Expand
6z^{3}+9z^{2}-42z
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\left(6z^{2}+21z\right)\left(z-2\right)
Use the distributive property to multiply 3z by 2z+7.
6z^{3}-12z^{2}+21z^{2}-42z
Apply the distributive property by multiplying each term of 6z^{2}+21z by each term of z-2.
6z^{3}+9z^{2}-42z
Combine -12z^{2} and 21z^{2} to get 9z^{2}.
\left(6z^{2}+21z\right)\left(z-2\right)
Use the distributive property to multiply 3z by 2z+7.
6z^{3}-12z^{2}+21z^{2}-42z
Apply the distributive property by multiplying each term of 6z^{2}+21z by each term of z-2.
6z^{3}+9z^{2}-42z
Combine -12z^{2} and 21z^{2} to get 9z^{2}.
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