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50a^{2}+18
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50a^{2}+18
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25a^{2}+30a+9+\left(5a-3\right)^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(5a+3\right)^{2}.
25a^{2}+30a+9+25a^{2}-30a+9
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(5a-3\right)^{2}.
50a^{2}+30a+9-30a+9
Combine 25a^{2} and 25a^{2} to get 50a^{2}.
50a^{2}+9+9
Combine 30a and -30a to get 0.
50a^{2}+18
Add 9 and 9 to get 18.
25a^{2}+30a+9+\left(5a-3\right)^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(5a+3\right)^{2}.
25a^{2}+30a+9+25a^{2}-30a+9
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(5a-3\right)^{2}.
50a^{2}+30a+9-30a+9
Combine 25a^{2} and 25a^{2} to get 50a^{2}.
50a^{2}+9+9
Combine 30a and -30a to get 0.
50a^{2}+18
Add 9 and 9 to get 18.
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