Evaluate
\left(2a+3\right)\left(2a+5\right)
Expand
4a^{2}+16a+15
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4a^{2}+20a+25-4a-10
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+5\right)^{2}.
4a^{2}+16a+25-10
Combine 20a and -4a to get 16a.
4a^{2}+16a+15
Subtract 10 from 25 to get 15.
4a^{2}+20a+25-4a-10
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(2a+5\right)^{2}.
4a^{2}+16a+25-10
Combine 20a and -4a to get 16a.
4a^{2}+16a+15
Subtract 10 from 25 to get 15.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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