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\left(2x+3\right)\left(x^{2}+10x+25\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
2x^{3}+23x^{2}+80x+75
Use the distributive property to multiply 2x+3 by x^{2}+10x+25 and combine like terms.
\left(2x+3\right)\left(x^{2}+10x+25\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
2x^{3}+23x^{2}+80x+75
Use the distributive property to multiply 2x+3 by x^{2}+10x+25 and combine like terms.