Question

1\ (x-1) ( x-2) +1\(x-2) (x-3)=2/3​

Answer 1

Step-by-step explanation:

$\frac{1}{(x - 1)(x - 2)} + \frac{1}{(x - 2)(x - 3)} = \frac{2}{3} \\ \frac{1}{ {x}^{2} + 3 } + \frac{1}{ {x}^{2} + 5 } = \frac{2}{3} \\ \frac{1}{3 {x}^{2} } + \frac{1}{5 {x}^{2} } = \frac{2}{3} \\ \frac{2}{8 {x}^{4} } = \frac{2}{3} \\ = \frac{1}{6 {x}^{4} } = 6 {x}^{4}$