Solve {l}{3a^{2}-12b^2}{2a^2-8ab+8b^2}{4a^2-8ab}

$$\left. \begin{array} { l } { 3 a ^ { 2 } - 12 b ^ { 2 } } \\ { 2 a ^ { 2 } - 8 a b + 8 b ^ { 2 } } \\ { 4 a ^ { 2 } - 8 a b } \end{array} \right.$$

Least Common Multiple

$$12a\left(a+2b\right)\left(a-2b\right)^{2}$$

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.

$$12a\left(a+2b\right)\left(a-2b\right)^{2}$$

Expand the expression.

$$12a^{4}-48a^{2}b^{2}+96ab^{3}-24ba^{3}$$

Evaluate

$$3\left(a^{2}-4b^{2}\right),\ 2\left(a-2b\right)^{2},\ 4a\left(a-2b\right)$$