Evaluate
20a^{2}-44ab+34b^{2}
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20a^{2}-44ab+34b^{2}
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16a^{2}-24ab+9b^{2}+\left(2a-5b\right)^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(4a-3b\right)^{2}.
16a^{2}-24ab+9b^{2}+4a^{2}-20ab+25b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2a-5b\right)^{2}.
20a^{2}-24ab+9b^{2}-20ab+25b^{2}
Combine 16a^{2} and 4a^{2} to get 20a^{2}.
20a^{2}-44ab+9b^{2}+25b^{2}
Combine -24ab and -20ab to get -44ab.
20a^{2}-44ab+34b^{2}
Combine 9b^{2} and 25b^{2} to get 34b^{2}.
16a^{2}-24ab+9b^{2}+\left(2a-5b\right)^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(4a-3b\right)^{2}.
16a^{2}-24ab+9b^{2}+4a^{2}-20ab+25b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2a-5b\right)^{2}.
20a^{2}-24ab+9b^{2}-20ab+25b^{2}
Combine 16a^{2} and 4a^{2} to get 20a^{2}.
20a^{2}-44ab+9b^{2}+25b^{2}
Combine -24ab and -20ab to get -44ab.
20a^{2}-44ab+34b^{2}
Combine 9b^{2} and 25b^{2} to get 34b^{2}.
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