Solve {l}{mn-mn/m^{2-m}}{-30p^2q/6pq}{9p^2+6pq}{3p^3q^2}

$$\left. \begin{array} { l } { m \frac { n - m n } { m ^ { 2 } - m } } \\ { \frac { - 30 p ^ { 2 } q } { 6 p q } } \\ { 9 p ^ { 2 } + 6 p q } \\ { 3 p ^ { 3 } q ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$15n\left(3p+2q\right)q^{2}p^{3}$$

Solution Steps

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$15n\left(3p+2q\right)q^{2}p^{3}$$

Expand the expression.

$$30np^{3}q^{3}+45nq^{2}p^{4}$$

Evaluate

$$-n,\ -5p,\ 3p\left(3p+2q\right),\ 3q^{2}p^{3}$$