Solve {l}{-2x^3+x}{y(y-6)+9(y-6)}{2x^2y-6xy^2+3xy}

$$\left. \begin{array} { l } { - 2 x ^ { 3 } + x } \\ { y ( y - 6 ) + 9 ( y - 6 ) } \\ { 2 x ^ { 2 } y - 6 x y ^ { 2 } + 3 x y } \end{array} \right.$$

Least Common Multiple

$$xy\left(6-y\right)\left(y+9\right)\left(2x-6y+3\right)\left(2x^{2}-1\right)$$

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.

$$xy\left(6-y\right)\left(y+9\right)\left(2x-6y+3\right)\left(2x^{2}-1\right)$$

Expand the expression.

$$12x^{3}y^{4}+30x^{3}y^{3}+2x^{2}y^{3}+6x^{2}y^{2}-6xy^{4}-15xy^{3}+333xy^{2}-162xy-4y^{3}x^{4}-12y^{2}x^{4}-666y^{2}x^{3}+216yx^{4}+324yx^{3}-108yx^{2}$$

Evaluate

$$x\left(1-2x^{2}\right),\ \left(y-6\right)\left(y+9\right),\ xy\left(2x-6y+3\right)$$