Evaluate
\left(7m-8n\right)^{2}+225m^{2}
Expand
274m^{2}-112mn+64n^{2}
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49m^{2}-112mn+64n^{2}+\left(7m+8m\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7m-8n\right)^{2}.
49m^{2}-112mn+64n^{2}+\left(15m\right)^{2}
Combine 7m and 8m to get 15m.
49m^{2}-112mn+64n^{2}+15^{2}m^{2}
Expand \left(15m\right)^{2}.
49m^{2}-112mn+64n^{2}+225m^{2}
Calculate 15 to the power of 2 and get 225.
274m^{2}-112mn+64n^{2}
Combine 49m^{2} and 225m^{2} to get 274m^{2}.
49m^{2}-112mn+64n^{2}+\left(7m+8m\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7m-8n\right)^{2}.
49m^{2}-112mn+64n^{2}+\left(15m\right)^{2}
Combine 7m and 8m to get 15m.
49m^{2}-112mn+64n^{2}+15^{2}m^{2}
Expand \left(15m\right)^{2}.
49m^{2}-112mn+64n^{2}+225m^{2}
Calculate 15 to the power of 2 and get 225.
274m^{2}-112mn+64n^{2}
Combine 49m^{2} and 225m^{2} to get 274m^{2}.
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