Solve {l}{(b^2+3u^2b+9u^4)}{(b-3a^2)}

$$\left. \begin{array} { l } { ( b ^ { 2 } + 3 u ^ { 2 } b + 9 u ^ { 4 } ) } \\ { ( b - 3 a ^ { 2 } ) } \end{array} \right.$$

Least Common Multiple

$$-\left(b-3a^{2}\right)\left(9u^{4}+3bu^{2}+b^{2}\right)$$

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.

$$-\left(b-3a^{2}\right)\left(9u^{4}+3bu^{2}+b^{2}\right)$$

Expand the expression.

$$27a^{2}u^{4}-9bu^{4}+9ba^{2}u^{2}-3b^{2}u^{2}+3a^{2}b^{2}-b^{3}$$

Evaluate

$$9u^{4}+3bu^{2}+b^{2},\ b-3a^{2}$$