Evaluate
-\left(3a+4b\right)^{2}+25
Expand
25-16b^{2}-24ab-9a^{2}
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25-\left(9a^{2}+24ab+16b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(3a+4b\right)^{2}.
25-9a^{2}-24ab-16b^{2}
To find the opposite of 9a^{2}+24ab+16b^{2}, find the opposite of each term.
25-\left(9a^{2}+24ab+16b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(3a+4b\right)^{2}.
25-9a^{2}-24ab-16b^{2}
To find the opposite of 9a^{2}+24ab+16b^{2}, find the opposite of each term.
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