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\frac{uv}{3}-v+7
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\frac{uv}{3}-v+7
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\frac{uv}{3}-v-\left(-7\right)
To find the opposite of v-7, find the opposite of each term.
\frac{uv}{3}-v+7
The opposite of -7 is 7.
\frac{uv}{3}+\frac{3\left(-v+7\right)}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply -v+7 times \frac{3}{3}.
\frac{uv+3\left(-v+7\right)}{3}
Since \frac{uv}{3} and \frac{3\left(-v+7\right)}{3} have the same denominator, add them by adding their numerators.
\frac{uv-3v+21}{3}
Do the multiplications in uv+3\left(-v+7\right).
\frac{uv}{3}-v-\left(-7\right)
To find the opposite of v-7, find the opposite of each term.
\frac{uv}{3}-v+7
The opposite of -7 is 7.
\frac{uv}{3}+\frac{3\left(-v+7\right)}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply -v+7 times \frac{3}{3}.
\frac{uv+3\left(-v+7\right)}{3}
Since \frac{uv}{3} and \frac{3\left(-v+7\right)}{3} have the same denominator, add them by adding their numerators.
\frac{uv-3v+21}{3}
Do the multiplications in uv+3\left(-v+7\right).
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Matrix
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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}