Evaluate
6x\left(2x+7\right)^{2}
Expand
24x^{3}+168x^{2}+294x
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\frac{60x^{2}+210x}{5}\left(2x+7\right)
Use the distributive property to multiply 10x by 6x+21.
\frac{\left(60x^{2}+210x\right)\left(2x+7\right)}{5}
Express \frac{60x^{2}+210x}{5}\left(2x+7\right) as a single fraction.
\frac{120x^{3}+420x^{2}+420x^{2}+1470x}{5}
Apply the distributive property by multiplying each term of 60x^{2}+210x by each term of 2x+7.
\frac{120x^{3}+840x^{2}+1470x}{5}
Combine 420x^{2} and 420x^{2} to get 840x^{2}.
\frac{60x^{2}+210x}{5}\left(2x+7\right)
Use the distributive property to multiply 10x by 6x+21.
\frac{\left(60x^{2}+210x\right)\left(2x+7\right)}{5}
Express \frac{60x^{2}+210x}{5}\left(2x+7\right) as a single fraction.
\frac{120x^{3}+420x^{2}+420x^{2}+1470x}{5}
Apply the distributive property by multiplying each term of 60x^{2}+210x by each term of 2x+7.
\frac{120x^{3}+840x^{2}+1470x}{5}
Combine 420x^{2} and 420x^{2} to get 840x^{2}.
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