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x^{3}+15x^{2}+75x+125+5
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+5\right)^{3}.
x^{3}+15x^{2}+75x+130
Add 125 and 5 to get 130.
x^{3}+15x^{2}+75x+125+5
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+5\right)^{3}.
x^{3}+15x^{2}+75x+130
Add 125 and 5 to get 130.