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32a^{2}+50b^{2}
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32a^{2}+50b^{2}
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16a^{2}-40ab+25b^{2}+\left(4a+5b\right)^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(4a-5b\right)^{2}.
16a^{2}-40ab+25b^{2}+16a^{2}+40ab+25b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(4a+5b\right)^{2}.
32a^{2}-40ab+25b^{2}+40ab+25b^{2}
Combine 16a^{2} and 16a^{2} to get 32a^{2}.
32a^{2}+25b^{2}+25b^{2}
Combine -40ab and 40ab to get 0.
32a^{2}+50b^{2}
Combine 25b^{2} and 25b^{2} to get 50b^{2}.
16a^{2}-40ab+25b^{2}+\left(4a+5b\right)^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(4a-5b\right)^{2}.
16a^{2}-40ab+25b^{2}+16a^{2}+40ab+25b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(4a+5b\right)^{2}.
32a^{2}-40ab+25b^{2}+40ab+25b^{2}
Combine 16a^{2} and 16a^{2} to get 32a^{2}.
32a^{2}+25b^{2}+25b^{2}
Combine -40ab and 40ab to get 0.
32a^{2}+50b^{2}
Combine 25b^{2} and 25b^{2} to get 50b^{2}.
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