Solve {l}{c+d-c^2+d^2}{16v^2-25u,2}

$$\left. \begin{array} { l } { c + d - c ^ { 2 } + d ^ { 2 } } \\ { 16 v ^ { 2 } - 25 u , 2 } \end{array} \right.$$

Least Common Multiple

$$2\left(c-d-1\right)\left(c+d\right)\left(16v^{2}-25u\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$c+d-c^{2}+d^{2}=\left(c-d-1\right)\left(-c-d\right)$$

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

$$2\left(c-d-1\right)\left(c+d\right)\left(16v^{2}-25u\right)$$

Expand the expression.

$$50ud^{2}-50uc^{2}+50cu+50du+32c^{2}v^{2}-32d^{2}v^{2}-32cv^{2}-32dv^{2}$$

Evaluate

$$d^{2}-c^{2}+c+d,\ 16v^{2}-25u,\ 2$$