Evaluate
24\left(2x+3\right)^{2}x^{3}
Expand
96x^{5}+288x^{4}+216x^{3}
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6x^{3}\left(16x^{2}+48x+36\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+6\right)^{2}.
96x^{5}+288x^{4}+216x^{3}
Use the distributive property to multiply 6x^{3} by 16x^{2}+48x+36.
6x^{3}\left(16x^{2}+48x+36\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+6\right)^{2}.
96x^{5}+288x^{4}+216x^{3}
Use the distributive property to multiply 6x^{3} by 16x^{2}+48x+36.
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