Solve {l}{-(x-b)^3}{(a+b)^2}

$$\left. \begin{array} { l } { - ( x - b ) ^ { 3 } } \\ { ( a + b ) ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$-\left(a+b\right)^{2}\left(x-b\right)^{3}$$

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.

$$-\left(a+b\right)^{2}\left(x-b\right)^{3}$$

Expand the expression.

$$-2abx^{3}-a^{2}x^{3}-b^{2}x^{3}+3ba^{2}x^{2}+6ab^{2}x^{2}+3x^{2}b^{3}-3xa^{2}b^{2}-6axb^{3}-3xb^{4}+a^{2}b^{3}+2ab^{4}+b^{5}$$

Evaluate

$$-\left(x-b\right)^{3},\ \left(a+b\right)^{2}$$