Solve {l}{(x+y)^2}{(b-2)^2}

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

Least Common Multiple

$$\left(\left(b-2\right)\left(x+y\right)\right)^{2}$$

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.

$$\left(b-2\right)^{2}\left(x+y\right)^{2}$$

Expand the expression.

$$b^{2}x^{2}-4bx^{2}+4x^{2}+2xyb^{2}-8bxy+8xy+b^{2}y^{2}-4by^{2}+4y^{2}$$

Evaluate

$$\left(x+y\right)^{2},\ \left(b-2\right)^{2}$$