Solve {l}{(3k+2b)^2}{(3k+2h)^2}

$$\left. \begin{array} { l } { ( 3 k + 2 b ) ^ { 2 } } \\ { ( 3 k + 2 h ) ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$\left(\left(2b+3k\right)\left(2h+3k\right)\right)^{2}$$

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.

$$\left(2b+3k\right)^{2}\left(2h+3k\right)^{2}$$

Expand the expression.

$$16b^{2}h^{2}+36b^{2}k^{2}+144bhk^{2}+108bk^{3}+48bkh^{2}+36h^{2}k^{2}+108hk^{3}+48hkb^{2}+81k^{4}$$

Evaluate

$$\left(2b+3k\right)^{2},\ \left(2h+3k\right)^{2}$$