Evaluate
\frac{5a}{6}-\frac{3b}{10}
Factor
\frac{25a-9b}{30}
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\frac{5}{6}a+\frac{1}{5}b-\frac{b}{2}
Combine \frac{1}{2}a and \frac{a}{3} to get \frac{5}{6}a.
\frac{5}{6}a-\frac{3}{10}b
Combine \frac{1}{5}b and -\frac{b}{2} to get -\frac{3}{10}b.
\frac{15a+10a+6b-15b}{30}
Factor out \frac{1}{30}.
25a-9b
Consider 15a+10a+6b-15b. Multiply and combine like terms.
\frac{25a-9b}{30}
Rewrite the complete factored expression.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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