Evaluate
-25\left(2x-3y\right)^{2}+1
Expand
1-225y^{2}+300xy-100x^{2}
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1-25\left(4x^{2}-12xy+9y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
1-100x^{2}+300xy-225y^{2}
Use the distributive property to multiply -25 by 4x^{2}-12xy+9y^{2}.
1-25\left(4x^{2}-12xy+9y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
1-100x^{2}+300xy-225y^{2}
Use the distributive property to multiply -25 by 4x^{2}-12xy+9y^{2}.
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