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13x^{2}-22x+1
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13x^{2}-22x+1
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x^{2}+2x+1+12x\left(x-2\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}-24x
Use the distributive property to multiply 12x by x-2.
13x^{2}+2x+1-24x
Combine x^{2} and 12x^{2} to get 13x^{2}.
13x^{2}-22x+1
Combine 2x and -24x to get -22x.
x^{2}+2x+1+12x\left(x-2\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}-24x
Use the distributive property to multiply 12x by x-2.
13x^{2}+2x+1-24x
Combine x^{2} and 12x^{2} to get 13x^{2}.
13x^{2}-22x+1
Combine 2x and -24x to get -22x.
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