Solve {l}{x-2x+6x-4}{(a-ab)^2(b+1)^2(b^2+1)^2}

$$\left. \begin{array} { l } { x - 2 x + 6 x - 4 } \\ { ( a - a b ) ^ { 2 } ( b + 1 ) ^ { 2 } ( b ^ { 2 } + 1 ) ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$\left(5x-4\right)\left(a\left(b^{4}-1\right)\right)^{2}$$

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.

$$\left(5x-4\right)a^{2}\left(b^{4}-1\right)^{2}$$

Expand the expression.

$$5xa^{2}b^{8}-10xa^{2}b^{4}+5xa^{2}-4a^{2}b^{8}+8a^{2}b^{4}-4a^{2}$$

Evaluate

$$5x-4,\ \left(a-ab^{4}\right)^{2}$$