Evaluate
\left(2x+3\right)^{3}+\left(3x-5\right)^{2}
Expand
8x^{3}+45x^{2}+24x+52
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8x^{3}+36x^{2}+54x+27+\left(3x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+3\right)^{3}.
8x^{3}+36x^{2}+54x+27+9x^{2}-30x+25
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-5\right)^{2}.
8x^{3}+45x^{2}+54x+27-30x+25
Combine 36x^{2} and 9x^{2} to get 45x^{2}.
8x^{3}+45x^{2}+24x+27+25
Combine 54x and -30x to get 24x.
8x^{3}+45x^{2}+24x+52
Add 27 and 25 to get 52.
8x^{3}+36x^{2}+54x+27+\left(3x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+3\right)^{3}.
8x^{3}+36x^{2}+54x+27+9x^{2}-30x+25
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-5\right)^{2}.
8x^{3}+45x^{2}+54x+27-30x+25
Combine 36x^{2} and 9x^{2} to get 45x^{2}.
8x^{3}+45x^{2}+24x+27+25
Combine 54x and -30x to get 24x.
8x^{3}+45x^{2}+24x+52
Add 27 and 25 to get 52.
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