Evaluate
\frac{3\left(2t+1\right)}{3t+5}
Expand
\frac{3\left(2t+1\right)}{3t+5}
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\frac{6\left(t+1\right)}{2\left(3t+5\right)}+\frac{3t}{3t+5}
Factor the expressions that are not already factored in \frac{6t+6}{6t+10}.
\frac{3\left(t+1\right)}{3t+5}+\frac{3t}{3t+5}
Cancel out 2 in both numerator and denominator.
\frac{3\left(t+1\right)+3t}{3t+5}
Since \frac{3\left(t+1\right)}{3t+5} and \frac{3t}{3t+5} have the same denominator, add them by adding their numerators.
\frac{3t+3+3t}{3t+5}
Do the multiplications in 3\left(t+1\right)+3t.
\frac{6t+3}{3t+5}
Combine like terms in 3t+3+3t.
\frac{6\left(t+1\right)}{2\left(3t+5\right)}+\frac{3t}{3t+5}
Factor the expressions that are not already factored in \frac{6t+6}{6t+10}.
\frac{3\left(t+1\right)}{3t+5}+\frac{3t}{3t+5}
Cancel out 2 in both numerator and denominator.
\frac{3\left(t+1\right)+3t}{3t+5}
Since \frac{3\left(t+1\right)}{3t+5} and \frac{3t}{3t+5} have the same denominator, add them by adding their numerators.
\frac{3t+3+3t}{3t+5}
Do the multiplications in 3\left(t+1\right)+3t.
\frac{6t+3}{3t+5}
Combine like terms in 3t+3+3t.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}