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The value of 1/((1-a)(1-b))+ a^(2)/((1-a...

The value of `1/((1-a)(1-b))+ a^(2)/((1-a)(b-a)) -b^(2)/((b-1)(a-b))` is:

A

1

B

0

C

2

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \[ \frac{1}{(1-a)(1-b)} + \frac{a^2}{(1-a)(b-a)} - \frac{b^2}{(b-1)(a-b)} \] we will simplify it step by step. ### Step 1: Identify the common denominator The denominators are \((1-a)(1-b)\), \((1-a)(b-a)\), and \((b-1)(a-b)\). We can rewrite \((b-1)(a-b)\) as \(-(1-b)(b-a)\). Thus, the common denominator can be taken as: \[ (1-a)(1-b)(a-b) \]
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ARIHANT PUBLICATION JHARKHAND-RATIONAL EXPRESSIONS-EXAM BOOSTER FOR CRACKING EXAM
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