Evaluate
-3x^{2}+30xy-16y^{2}
Expand
-3x^{2}+30xy-16y^{2}
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6x^{2}+6xy-\left(3x-4y\right)^{2}
Use the distributive property to multiply 6x by x+y.
6x^{2}+6xy-\left(9x^{2}-24xy+16y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-4y\right)^{2}.
6x^{2}+6xy-9x^{2}+24xy-16y^{2}
To find the opposite of 9x^{2}-24xy+16y^{2}, find the opposite of each term.
-3x^{2}+6xy+24xy-16y^{2}
Combine 6x^{2} and -9x^{2} to get -3x^{2}.
-3x^{2}+30xy-16y^{2}
Combine 6xy and 24xy to get 30xy.
6x^{2}+6xy-\left(3x-4y\right)^{2}
Use the distributive property to multiply 6x by x+y.
6x^{2}+6xy-\left(9x^{2}-24xy+16y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-4y\right)^{2}.
6x^{2}+6xy-9x^{2}+24xy-16y^{2}
To find the opposite of 9x^{2}-24xy+16y^{2}, find the opposite of each term.
-3x^{2}+6xy+24xy-16y^{2}
Combine 6x^{2} and -9x^{2} to get -3x^{2}.
-3x^{2}+30xy-16y^{2}
Combine 6xy and 24xy to get 30xy.
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