Evaluate
\left(x+1\right)\left(5x+12\right)
Expand
5x^{2}+17x+12
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4x^{2}+20x+25-13-3x+x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+5\right)^{2}.
4x^{2}+20x+12-3x+x^{2}
Subtract 13 from 25 to get 12.
4x^{2}+17x+12+x^{2}
Combine 20x and -3x to get 17x.
5x^{2}+17x+12
Combine 4x^{2} and x^{2} to get 5x^{2}.
4x^{2}+20x+25-13-3x+x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+5\right)^{2}.
4x^{2}+20x+12-3x+x^{2}
Subtract 13 from 25 to get 12.
4x^{2}+17x+12+x^{2}
Combine 20x and -3x to get 17x.
5x^{2}+17x+12
Combine 4x^{2} and x^{2} to get 5x^{2}.
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