Question

А
1
B
If
+
(1-2x)(1+ 3x) 1-2x 1+ 3x
then 2B =
9​

Answer 1

Answer:

2B = 6/5

Step-by-step explanation:

$\frac{1}{(1 - 2x)(1 + 3x)} = \frac{a}{(1 - 2x)} + \frac{b}{1 + 3x)} \\ or \: \: (1 + 3x)a + (1 - 2x)b = 1 \\ or \: \: (a + b) + (3a - 2b)x = 1 + (0)x$

On comparing the terms we get,

a+b = 1 and 3a-2b=0

on solving these equation we get, a = 2/5 and b=3/5.