Evaluate
-\left(3x-4y\right)\left(x+6y\right)
Expand
24y^{2}-14xy-3x^{2}
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x^{2}-10xy+25y^{2}-\left(2x+y\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5y\right)^{2}.
x^{2}-10xy+25y^{2}-\left(4x^{2}+4xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
x^{2}-10xy+25y^{2}-4x^{2}-4xy-y^{2}
To find the opposite of 4x^{2}+4xy+y^{2}, find the opposite of each term.
-3x^{2}-10xy+25y^{2}-4xy-y^{2}
Combine x^{2} and -4x^{2} to get -3x^{2}.
-3x^{2}-14xy+25y^{2}-y^{2}
Combine -10xy and -4xy to get -14xy.
-3x^{2}-14xy+24y^{2}
Combine 25y^{2} and -y^{2} to get 24y^{2}.
x^{2}-10xy+25y^{2}-\left(2x+y\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5y\right)^{2}.
x^{2}-10xy+25y^{2}-\left(4x^{2}+4xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
x^{2}-10xy+25y^{2}-4x^{2}-4xy-y^{2}
To find the opposite of 4x^{2}+4xy+y^{2}, find the opposite of each term.
-3x^{2}-10xy+25y^{2}-4xy-y^{2}
Combine x^{2} and -4x^{2} to get -3x^{2}.
-3x^{2}-14xy+25y^{2}-y^{2}
Combine -10xy and -4xy to get -14xy.
-3x^{2}-14xy+24y^{2}
Combine 25y^{2} and -y^{2} to get 24y^{2}.
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