Solve {l}{(x-5)(m+1)(m+2)}{(y-5)(x+2)}

$$\left. \begin{array} { l } { ( x - 5 ) ( m + 1 ) ( m + 2 ) } \\ { ( y - 5 ) ( x + 2 ) } \end{array} \right.$$

Least Common Multiple

$$\left(x-5\right)\left(y-5\right)\left(m+1\right)\left(m+2\right)\left(x+2\right)$$

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.

$$\left(x-5\right)\left(y-5\right)\left(m+1\right)\left(m+2\right)\left(x+2\right)$$

Expand the expression.

$$-5m^{2}x^{2}-15mx^{2}-10x^{2}-3xym^{2}-9mxy+15xm^{2}+45mx-6xy+30x+ym^{2}x^{2}+3myx^{2}+2yx^{2}-10ym^{2}-30my-20y+50m^{2}+150m+100$$

Evaluate

$$\left(x-5\right)\left(m+1\right)\left(m+2\right),\ \left(y-5\right)\left(x+2\right)$$