Evaluate
\frac{7\left(3x+2\right)}{12\left(x+2\right)}
Expand
\frac{7\left(3x+2\right)}{12\left(x+2\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { 3 x ^ { 2 } + 2 x } { 4 x } \times \frac { 7 } { 3 x + 6 }
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\frac{x\left(3x+2\right)}{4x}\times \frac{7}{3x+6}
Factor the expressions that are not already factored in \frac{3x^{2}+2x}{4x}.
\frac{3x+2}{4}\times \frac{7}{3x+6}
Cancel out x in both numerator and denominator.
\frac{\left(3x+2\right)\times 7}{4\left(3x+6\right)}
Multiply \frac{3x+2}{4} times \frac{7}{3x+6} by multiplying numerator times numerator and denominator times denominator.
\frac{21x+14}{4\left(3x+6\right)}
Use the distributive property to multiply 3x+2 by 7.
\frac{21x+14}{12x+24}
Use the distributive property to multiply 4 by 3x+6.
\frac{x\left(3x+2\right)}{4x}\times \frac{7}{3x+6}
Factor the expressions that are not already factored in \frac{3x^{2}+2x}{4x}.
\frac{3x+2}{4}\times \frac{7}{3x+6}
Cancel out x in both numerator and denominator.
\frac{\left(3x+2\right)\times 7}{4\left(3x+6\right)}
Multiply \frac{3x+2}{4} times \frac{7}{3x+6} by multiplying numerator times numerator and denominator times denominator.
\frac{21x+14}{4\left(3x+6\right)}
Use the distributive property to multiply 3x+2 by 7.
\frac{21x+14}{12x+24}
Use the distributive property to multiply 4 by 3x+6.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}