Solve {l}{x^2-8x+16}{25+10m+m^2}

$$\left. \begin{array} { l } { x ^ { 2 } - 8 x + 16 } \\ { 25 + 10 m + m ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$\left(\left(x-4\right)\left(m+5\right)\right)^{2}$$

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.

$$\left(x-4\right)^{2}\left(m+5\right)^{2}$$

Expand the expression.

$$m^{2}x^{2}+10mx^{2}+25x^{2}-8xm^{2}-80mx-200x+16m^{2}+160m+400$$

Evaluate

$$\left(x-4\right)^{2},\ \left(m+5\right)^{2}$$