Expand
5x^{2}-14xy+34y^{2}
Evaluate
\left(x+3y\right)^{2}+\left(2x-5y\right)^{2}
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x^{2}+6xy+9y^{2}+\left(2x-5y\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3y\right)^{2}.
x^{2}+6xy+9y^{2}+4x^{2}-20xy+25y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5y\right)^{2}.
5x^{2}+6xy+9y^{2}-20xy+25y^{2}
Combine x^{2} and 4x^{2} to get 5x^{2}.
5x^{2}-14xy+9y^{2}+25y^{2}
Combine 6xy and -20xy to get -14xy.
5x^{2}-14xy+34y^{2}
Combine 9y^{2} and 25y^{2} to get 34y^{2}.
x^{2}+6xy+9y^{2}+\left(2x-5y\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3y\right)^{2}.
x^{2}+6xy+9y^{2}+4x^{2}-20xy+25y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5y\right)^{2}.
5x^{2}+6xy+9y^{2}-20xy+25y^{2}
Combine x^{2} and 4x^{2} to get 5x^{2}.
5x^{2}-14xy+9y^{2}+25y^{2}
Combine 6xy and -20xy to get -14xy.
5x^{2}-14xy+34y^{2}
Combine 9y^{2} and 25y^{2} to get 34y^{2}.
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