Evaluate
\frac{7y}{2x}+\frac{21}{2}
Expand
\frac{7y}{2x}+\frac{21}{2}
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7\times \frac{2\left(3x+y\right)^{2}}{4x\left(3x+y\right)}
Factor the expressions that are not already factored in \frac{2\left(3x+y\right)^{2}}{12x^{2}+4xy}.
7\times \frac{3x+y}{2x}
Cancel out 2\left(3x+y\right) in both numerator and denominator.
\frac{7\left(3x+y\right)}{2x}
Express 7\times \frac{3x+y}{2x} as a single fraction.
\frac{21x+7y}{2x}
Use the distributive property to multiply 7 by 3x+y.
7\times \frac{2\left(3x+y\right)^{2}}{4x\left(3x+y\right)}
Factor the expressions that are not already factored in \frac{2\left(3x+y\right)^{2}}{12x^{2}+4xy}.
7\times \frac{3x+y}{2x}
Cancel out 2\left(3x+y\right) in both numerator and denominator.
\frac{7\left(3x+y\right)}{2x}
Express 7\times \frac{3x+y}{2x} as a single fraction.
\frac{21x+7y}{2x}
Use the distributive property to multiply 7 by 3x+y.
Examples
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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}