Question

Please give me answer of question no 49

Answer 1

Required Answer:-

In this question, We need to prove that left hand side is equal to the right hand side. Here, we just need to know the only exponent law: $\rm{\purple{ {a}^{ - 1} = \dfrac{1}{a} }}$

Refer to the attachment...

Steps followed:

1. Take the LHS and use the exponential law in numerator and denominator separately.
2. Take the LCM and simplify the numerator.
3. Bring 1/x to the numerator by the above law only. $\rm{\purple{ {a}^{ - 1} = \dfrac{1}{a} }}$
4. Reverse or reciprocal the terms as there is a degree of -1 in each of the terms.
5. Now take the LCM and simplify.
6. Use the identity $\rm{ \purple{(a + b)(a - b) = {a}^{2} - {b}^{2} }}$ in the denominator.
7. And then see, we are getting the RHS.
8. Hence, proved !!!

Answer 2

_____________________

Refer attachment

_____________________