Evaluate
32a^{2}+60ab+29b^{2}
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32a^{2}+60ab+29b^{2}
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36a^{2}+60ab+25b^{2}-4\left(a^{2}-b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(6a+5b\right)^{2}.
36a^{2}+60ab+25b^{2}-4a^{2}+4b^{2}
Use the distributive property to multiply -4 by a^{2}-b^{2}.
32a^{2}+60ab+25b^{2}+4b^{2}
Combine 36a^{2} and -4a^{2} to get 32a^{2}.
32a^{2}+60ab+29b^{2}
Combine 25b^{2} and 4b^{2} to get 29b^{2}.
36a^{2}+60ab+25b^{2}-4\left(a^{2}-b^{2}\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(6a+5b\right)^{2}.
36a^{2}+60ab+25b^{2}-4a^{2}+4b^{2}
Use the distributive property to multiply -4 by a^{2}-b^{2}.
32a^{2}+60ab+25b^{2}+4b^{2}
Combine 36a^{2} and -4a^{2} to get 32a^{2}.
32a^{2}+60ab+29b^{2}
Combine 25b^{2} and 4b^{2} to get 29b^{2}.
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