Solve {l}{a^{2}b^{3}-ab^3}{2xy+3ay^2}{-4x^2y^2}

$$\left. \begin{array} { l } { a ^ { 2 } b ^ { 3 } - a b ^ { 3 } } \\ { 2 x y + 3 a y ^ { 2 } } \\ { - 4 x ^ { 2 } y ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$4a\left(a-1\right)\left(2x+3ay\right)b^{3}\left(xy\right)^{2}$$

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.

$$4a\left(a-1\right)x^{2}y^{2}\left(2x+3ay\right)b^{3}$$

Expand the expression.

$$12x^{2}a^{3}b^{3}y^{3}-12a^{2}x^{2}b^{3}y^{3}+8a^{2}y^{2}b^{3}x^{3}-8ay^{2}b^{3}x^{3}$$

Evaluate

$$a\left(a-1\right)b^{3},\ y\left(2x+3ay\right),\ -4\left(xy\right)^{2}$$