Solve {l}{25a^{2}b^{3}-5ab-30a^3b^2}{ab(5ab^2-1-6a^2b)}

$$\left. \begin{array} { l } { 25 a ^ { 2 } b ^ { 3 } - 5 a b - 30 a ^ { 3 } b ^ { 2 } } \\ { a b ( 5 a b ^ { 2 } - 1 - 6 a ^ { 2 } b ) } \end{array} \right.$$

Least Common Multiple

$$5ab\left(5ab^{2}-6ba^{2}-1\right)$$

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.

$$5ab\left(5ab^{2}-6ba^{2}-1\right)$$

Expand the expression.

$$25a^{2}b^{3}-5ab-30b^{2}a^{3}$$

Evaluate

$$5ab\left(5ab^{2}-6ba^{2}-1\right),\ ab\left(5ab^{2}-6ba^{2}-1\right)$$