Evaluate
\left(13x-11\right)\left(x+1\right)
Expand
13x^{2}+2x-11
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x^{2}+2x+1+12\left(x^{2}-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{2}+2x+1+12x^{2}-12
Use the distributive property to multiply 12 by x^{2}-1.
13x^{2}+2x+1-12
Combine x^{2} and 12x^{2} to get 13x^{2}.
13x^{2}+2x-11
Subtract 12 from 1 to get -11.
x^{2}+2x+1+12\left(x^{2}-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{2}+2x+1+12x^{2}-12
Use the distributive property to multiply 12 by x^{2}-1.
13x^{2}+2x+1-12
Combine x^{2} and 12x^{2} to get 13x^{2}.
13x^{2}+2x-11
Subtract 12 from 1 to get -11.
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