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27x^{3}+135x^{2}+225x+125+64
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(3x+5\right)^{3}.
27x^{3}+135x^{2}+225x+189
Add 125 and 64 to get 189.
27x^{3}+135x^{2}+225x+125+64
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(3x+5\right)^{3}.
27x^{3}+135x^{2}+225x+189
Add 125 and 64 to get 189.