Evaluate
\frac{a\left(a+45\right)}{4\left(a+5\right)}
Factor
\frac{a\left(a+45\right)}{4\left(a+5\right)}
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\frac{10a}{a+5}+\frac{a}{4}
Express 10\times \frac{a}{a+5} as a single fraction.
\frac{4\times 10a}{4\left(a+5\right)}+\frac{a\left(a+5\right)}{4\left(a+5\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a+5 and 4 is 4\left(a+5\right). Multiply \frac{10a}{a+5} times \frac{4}{4}. Multiply \frac{a}{4} times \frac{a+5}{a+5}.
\frac{4\times 10a+a\left(a+5\right)}{4\left(a+5\right)}
Since \frac{4\times 10a}{4\left(a+5\right)} and \frac{a\left(a+5\right)}{4\left(a+5\right)} have the same denominator, add them by adding their numerators.
\frac{40a+a^{2}+5a}{4\left(a+5\right)}
Do the multiplications in 4\times 10a+a\left(a+5\right).
\frac{45a+a^{2}}{4\left(a+5\right)}
Combine like terms in 40a+a^{2}+5a.
\frac{45a+a^{2}}{4a+20}
Expand 4\left(a+5\right).
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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