Expand
25x^{5}+160x^{4}+361x^{3}+326x^{2}+92x+8
Evaluate
\left(5x+1\right)^{2}\left(x+2\right)^{3}
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\left(25x^{2}+10x+1\right)\left(x+2\right)^{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+1\right)^{2}.
\left(25x^{2}+10x+1\right)\left(x^{3}+6x^{2}+12x+8\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+2\right)^{3}.
25x^{5}+160x^{4}+361x^{3}+326x^{2}+92x+8
Use the distributive property to multiply 25x^{2}+10x+1 by x^{3}+6x^{2}+12x+8 and combine like terms.
\left(25x^{2}+10x+1\right)\left(x+2\right)^{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+1\right)^{2}.
\left(25x^{2}+10x+1\right)\left(x^{3}+6x^{2}+12x+8\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+2\right)^{3}.
25x^{5}+160x^{4}+361x^{3}+326x^{2}+92x+8
Use the distributive property to multiply 25x^{2}+10x+1 by x^{3}+6x^{2}+12x+8 and combine like terms.
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