Solve {l}{frac{2a^{2}+ab-b^2}{a+b}}{a^4-10a^2+169/a^2+6a+13}

$$\left. \begin{array} { l } { \frac { 2 a ^ { 2 } + a b - b ^ { 2 } } { a + b } } \\ { \frac { a ^ { 4 } - 10 a ^ { 2 } + 169 } { a ^ { 2 } + 6 a + 13 } } \end{array} \right.$$

Least Common Multiple

$$\left(2a-b\right)\left(-a^{2}+6a-13\right)$$

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.

$$\left(2a-b\right)\left(-a^{2}+6a-13\right)$$

Expand the expression.

$$-2a^{3}+12a^{2}-6ab-26a+ba^{2}+13b$$

Evaluate

$$2a-b,\ a^{2}-6a+13$$