Question

resolve 7x-1/(1-2x)( 1- 3x)​

Answer 1

Answer:

1-3x 1-2x/7x-1 is the correct answer

Answer 2

Answer:

Let

$\frac{7x-1}{(1-2x)(1-3x)} =\frac{A}{(1-2x)} +\frac{B}{(1-3x)}$

⇒ (7x – 1) = A(1 – 3x) + B(1 – 2x)  

Put x = 0, -1 = A + B …………..1  

Put x = 1 6 = -2A - B …………………….2  

Solving 1 & 2 (adding) -A = 5 ⇒ A = -5  

B = -1-A = -1 + 5 = 4.

∴$\frac{7x+1}{(1-2x)(1-3x)} =\frac{-5}{(1-2x)} +\frac{4}{(1-3x)}$

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