Expand
4x^{2}-12xy+y^{2}
Evaluate
\left(2x-3y\right)^{2}-8y^{2}
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4x^{2}-12xy+9y^{2}-8y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
4x^{2}-12xy+y^{2}
Combine 9y^{2} and -8y^{2} to get y^{2}.
4x^{2}-12xy+9y^{2}-8y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
4x^{2}-12xy+y^{2}
Combine 9y^{2} and -8y^{2} to get y^{2}.
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