Evaluate
\frac{2\left(a+1\right)}{a+7}
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\frac{2\left(a+1\right)}{a+7}
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\frac{5a-\left(3a+2\right)}{a+7}+\frac{4}{a+7}
Since \frac{5a}{a+7} and \frac{3a+2}{a+7} have the same denominator, subtract them by subtracting their numerators.
\frac{5a-3a-2}{a+7}+\frac{4}{a+7}
Do the multiplications in 5a-\left(3a+2\right).
\frac{2a-2}{a+7}+\frac{4}{a+7}
Combine like terms in 5a-3a-2.
\frac{2a-2+4}{a+7}
Since \frac{2a-2}{a+7} and \frac{4}{a+7} have the same denominator, add them by adding their numerators.
\frac{2a+2}{a+7}
Combine like terms in 2a-2+4.
\frac{5a-\left(3a+2\right)}{a+7}+\frac{4}{a+7}
Since \frac{5a}{a+7} and \frac{3a+2}{a+7} have the same denominator, subtract them by subtracting their numerators.
\frac{5a-3a-2}{a+7}+\frac{4}{a+7}
Do the multiplications in 5a-\left(3a+2\right).
\frac{2a-2}{a+7}+\frac{4}{a+7}
Combine like terms in 5a-3a-2.
\frac{2a-2+4}{a+7}
Since \frac{2a-2}{a+7} and \frac{4}{a+7} have the same denominator, add them by adding their numerators.
\frac{2a+2}{a+7}
Combine like terms in 2a-2+4.
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}