Solve {c}{2x^{2}y^{3}text{pour}4x^2y^3}{?quadtext{pour}4x^2+6y^4}

$$\left. \begin{array} { c } { 2 x ^ { 2 } y ^ { 3 } \text { pour } 4 x ^ { 2 } y ^ { 3 } } \\ { ? \quad \text { pour } 4 x ^ { 2 } + 6 y ^ { 4 } } \end{array} \right.$$

Least Common Multiple

$$24oprux^{4}y^{10}+16\left(opru\right)^{2}\left(xy\right)^{6}$$

Solution Steps

Factor the expressions that are not already factored.

$$4pourx^{2}+6y^{4}=2\left(2oprux^{2}+3y^{4}\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$8oprux^{4}y^{6}\left(2oprux^{2}+3y^{4}\right)$$

Expand the expression.

$$16o^{2}p^{2}r^{2}u^{2}x^{6}y^{6}+24oprux^{4}y^{10}$$

Evaluate

$$8oprux^{4}y^{6},\ 4oprux^{2}+6y^{4}$$