Evaluate
\frac{3p}{q}
Expand
\frac{3p}{q}
Quiz
Algebra
5 problems similar to:
\frac { 3 p } { ( 2 p + q ) q ^ { 2 } } \times ( q ^ { 2 } + 2 p q )
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\frac{3p}{2pq^{2}+q^{3}}\left(q^{2}+2pq\right)
Use the distributive property to multiply 2p+q by q^{2}.
\frac{3p\left(q^{2}+2pq\right)}{2pq^{2}+q^{3}}
Express \frac{3p}{2pq^{2}+q^{3}}\left(q^{2}+2pq\right) as a single fraction.
\frac{3pq\left(2p+q\right)}{\left(2p+q\right)q^{2}}
Factor the expressions that are not already factored.
\frac{3p}{q}
Cancel out q\left(2p+q\right) in both numerator and denominator.
\frac{3p}{2pq^{2}+q^{3}}\left(q^{2}+2pq\right)
Use the distributive property to multiply 2p+q by q^{2}.
\frac{3p\left(q^{2}+2pq\right)}{2pq^{2}+q^{3}}
Express \frac{3p}{2pq^{2}+q^{3}}\left(q^{2}+2pq\right) as a single fraction.
\frac{3pq\left(2p+q\right)}{\left(2p+q\right)q^{2}}
Factor the expressions that are not already factored.
\frac{3p}{q}
Cancel out q\left(2p+q\right) in both numerator and denominator.
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}