Evaluate
\left(7x+5\right)^{2}
Expand
49x^{2}+70x+25
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x^{2}+10x+25+12x\left(x+5\right)+36x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
x^{2}+10x+25+12x^{2}+60x+36x^{2}
Use the distributive property to multiply 12x by x+5.
13x^{2}+10x+25+60x+36x^{2}
Combine x^{2} and 12x^{2} to get 13x^{2}.
13x^{2}+70x+25+36x^{2}
Combine 10x and 60x to get 70x.
49x^{2}+70x+25
Combine 13x^{2} and 36x^{2} to get 49x^{2}.
x^{2}+10x+25+12x\left(x+5\right)+36x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
x^{2}+10x+25+12x^{2}+60x+36x^{2}
Use the distributive property to multiply 12x by x+5.
13x^{2}+10x+25+60x+36x^{2}
Combine x^{2} and 12x^{2} to get 13x^{2}.
13x^{2}+70x+25+36x^{2}
Combine 10x and 60x to get 70x.
49x^{2}+70x+25
Combine 13x^{2} and 36x^{2} to get 49x^{2}.
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