Solve {l}{(a-2b)*[(a+b)*(a-b)-2a*(a-1)^{2}-2*(-a^{3}-a)]+a*(10ab-5z+b)}{(4a^{2}-1)*[(2a+1)^2-4a]-(4a^2+1)^2+(2a^2+1)*4}

$$\left. \begin{array} { l } { ( a - 2 b ) \cdot [ ( a + b ) \cdot ( a - b ) - 2 a \cdot ( a - 1 ) ^ { 2 } - 2 \cdot ( - a ^ { 3 } - a ) ] + a \cdot ( 10 a b - 5 z + b ) } \\ { ( 4 a ^ { 2 } - 1 ) \cdot [ ( 2 a + 1 ) ^ { 2 } - 4 a ] - ( 4 a ^ { 2 } + 1 ) ^ { 2 } + ( 2 a ^ { 2 } + 1 ) \cdot 4 } \end{array} \right.$$

Least Common Multiple

$$2\left(5az+ab^{2}-ab-2b^{3}-5a^{3}\right)$$

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.

$$2\left(5az+ab^{2}-ab-2b^{3}-5a^{3}\right)$$

Expand the expression.

$$10az+2ab^{2}-10a^{3}-4b^{3}-2ab$$

Evaluate

$$5a^{3}+2b^{3}+ab-ab^{2}-5az,\ 2$$