Question

in this que they say at the end that 2 X + 3 is not equal to zero can you tell me why

Answer 1

Hey mate !!

Here's the answer !!

If you notice the sum, It is given that,

$\frac{2x}{x - 3} + \frac{1}{2x + 3} = \frac{3x + 9}{( x - 3 ) ( 2x + 3 )}$

We all know that if denominator of a fraction is zero, then the fraction becomes invalid. 

If you notice in the LHS, the denominators are 2x + 3 and x - 3. We know that denominators cannot be zero. Hence it is given that,

2x + 3 and x - 3 is not equal to zero.

Hope my answer helps !!

Cheers !!