Evaluate
-16\left(3x+4y\right)^{2}+1
Expand
1-256y^{2}-384xy-144x^{2}
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1-16\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}.
1-144x^{2}-384xy-256y^{2}
Use the distributive property to multiply -16 by 9x^{2}+24xy+16y^{2}.
1-16\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}.
1-144x^{2}-384xy-256y^{2}
Use the distributive property to multiply -16 by 9x^{2}+24xy+16y^{2}.
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