Solve {l}{ax-bx}{ab+b^2}{-3(a-b^2)}

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

Least Common Multiple

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

Solution Steps

Factor the expressions that are not already factored.

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

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

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

Expand the expression.

$$-3xa^{2}b^{3}+3xb^{5}+3bxa^{3}-3axb^{3}$$

Evaluate

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