Solve {l}{(a^{2}-3ab+b^{2})^{2}-(a^{2}-b^{2})(a^{2}+b^{2})-11a^{2}b^{2}+6ab(a^{2}+b^{2})}{(a^{2}+4ab+3b^2)^2-(a+b)(a-3b)(a-b)(a+3b)-4ab(2a^2+7ab+6b^2)}

$$\left. \begin{array} { l } { ( a ^ { 2 } - 3 a b + b ^ { 2 } ) ^ { 2 } - ( a ^ { 2 } - b ^ { 2 } ) ( a ^ { 2 } + b ^ { 2 } ) - 11 a ^ { 2 } b ^ { 2 } + 6 a b ( a ^ { 2 } + b ^ { 2 } ) } \\ { ( a ^ { 2 } + 4 a b + 3 b ^ { 2 } ) ^ { 2 } - ( a + b ) ( a - 3 b ) ( a - b ) ( a + 3 b ) - 4 a b ( 2 a ^ { 2 } + 7 a b + 6 b ^ { 2 } ) } \end{array} \right.$$

Least Common Multiple

$$4a^{2}b^{4}$$

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.

$$4a^{2}b^{4}$$

Evaluate

$$2b^{4},\ 4\left(ab\right)^{2}$$