Evaluate
\frac{5m-3}{m+4}
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\frac{5m-3}{m+4}
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\frac{\left(m-3\right)\left(m+5\right)}{\left(m+4\right)\left(m+5\right)}+\frac{4m}{m+4}
Factor the expressions that are not already factored in \frac{m^{2}+2m-15}{m^{2}+9m+20}.
\frac{m-3}{m+4}+\frac{4m}{m+4}
Cancel out m+5 in both numerator and denominator.
\frac{m-3+4m}{m+4}
Since \frac{m-3}{m+4} and \frac{4m}{m+4} have the same denominator, add them by adding their numerators.
\frac{5m-3}{m+4}
Combine like terms in m-3+4m.
\frac{\left(m-3\right)\left(m+5\right)}{\left(m+4\right)\left(m+5\right)}+\frac{4m}{m+4}
Factor the expressions that are not already factored in \frac{m^{2}+2m-15}{m^{2}+9m+20}.
\frac{m-3}{m+4}+\frac{4m}{m+4}
Cancel out m+5 in both numerator and denominator.
\frac{m-3+4m}{m+4}
Since \frac{m-3}{m+4} and \frac{4m}{m+4} have the same denominator, add them by adding their numerators.
\frac{5m-3}{m+4}
Combine like terms in m-3+4m.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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