Solve {l}{71/2x-2(x-1/3y^{2})+(-3/2x+1/3y^{2})}{frac{1}{2}x-2(x-frac{1}{3}y^{2})+(-frac{3}{2}x+frac{1}{3}y^2)}{frac{1}{2}x-2x+frac{2}{3}y^2-frac{3}{2}x+frac{1}{3}y^2}{-3x+y^2}

$$\left. \begin{array} { l } { 7 \frac { 1 } { 2 } x - 2 ( x - \frac { 1 } { 3 } y ^ { 2 } ) + ( - \frac { 3 } { 2 } x + \frac { 1 } { 3 } y ^ { 2 } ) } \\ { \frac { 1 } { 2 } x - 2 ( x - \frac { 1 } { 3 } y ^ { 2 } ) + ( - \frac { 3 } { 2 } x + \frac { 1 } { 3 } y ^ { 2 } ) } \\ { \frac { 1 } { 2 } x - 2 x + \frac { 2 } { 3 } y ^ { 2 } - \frac { 3 } { 2 } x + \frac { 1 } { 3 } y ^ { 2 } } \\ { - 3 x + y ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$y^{4}+xy^{2}-12x^{2}$$

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.

$$\left(-4x-y^{2}\right)\left(3x-y^{2}\right)$$

Expand the expression.

$$-12x^{2}+xy^{2}+y^{4}$$

Evaluate

$$4x+y^{2},\ y^{2}-3x,\ y^{2}-3x,\ y^{2}-3x$$