Solve {l}{x^{2}y^2-8xy}{2h^2+2h^4-h^5}

$$\left. \begin{array} { l } { x ^ { 2 } y ^ { 2 } - 8 x y } \\ { 2 h ^ { 2 } + 2 h ^ { 4 } - h ^ { 5 } } \end{array} \right.$$

Least Common Multiple

$$xyh^{2}\left(h^{3}-2h^{2}-2\right)\left(xy-8\right)$$

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.

$$xyh^{2}\left(h^{3}-2h^{2}-2\right)\left(xy-8\right)$$

Expand the expression.

$$x^{2}y^{2}h^{5}-2x^{2}y^{2}h^{4}-2h^{2}x^{2}y^{2}-8xyh^{5}+16xyh^{4}+16xyh^{2}$$

Evaluate

$$xy\left(xy-8\right),\ h^{2}\left(2+2h^{2}-h^{3}\right)$$