Prove the following: (i) (a + b)-1 (a-1 + b-1) = 1/ab

Prove the following:

(i) (a + b)-1 (a-1 + b-1) = 1/ab

ML Aggarwal Solutions for Class 9 Maths Chapter 8 Image 60

Solution:

(i) (a + b)-1 (a-1 + b-1) = 1/ab

Here

LHS = (a + b)-1 (a-1 + b-1)

We can write it as

ML Aggarwal Solutions for Class 9 Maths Chapter 8 Image 61

= RHS

Hence, proved.

ML Aggarwal Solutions for Class 9 Maths Chapter 8 Image 62

ML Aggarwal Solutions for Class 9 Maths Chapter 8 Image 63

= xyz

= RHS

Hence, proved.

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