Evaluate
\left(\left(x+1\right)\left(x+6\right)\right)^{2}
Expand
x^{4}+14x^{3}+61x^{2}+84x+36
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\left(x+6\right)^{2}\left(x+1\right)^{2}
Multiply x+1 and x+1 to get \left(x+1\right)^{2}.
\left(x^{2}+12x+36\right)\left(x+1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
\left(x^{2}+12x+36\right)\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{4}+14x^{3}+61x^{2}+84x+36
Use the distributive property to multiply x^{2}+12x+36 by x^{2}+2x+1 and combine like terms.
\left(x+6\right)^{2}\left(x+1\right)^{2}
Multiply x+1 and x+1 to get \left(x+1\right)^{2}.
\left(x^{2}+12x+36\right)\left(x+1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
\left(x^{2}+12x+36\right)\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{4}+14x^{3}+61x^{2}+84x+36
Use the distributive property to multiply x^{2}+12x+36 by x^{2}+2x+1 and combine like terms.
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