Question

Please answer the question with Explanation​

Answer 1

Answer:

option B

Step-by-step explanation:

1/1/X+2+1/X+3

=1/X+3+X+2/(X+2)(X+3). I took lcm

=1/2x+5/x^2+3x+2x+6

=x^2+5x+6/2x+5

therefore option b

Answer 2

Step-by-step explanation:

Given:

If x > 3, which of the following is equivalent

to

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

To find: Correct option

Solution:

Step 1: Take LCM

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

Step 2: Simplify

$\frac{(x + 2)(x + 3)}{2x + 5}$

Step 3: Multiply factors of numerator

$= \frac{ {x}^{2} + 3x + 2x + 6}{2x + 5} \\ \\ = \frac{ {x}^{2} + 5x + 6 }{2x + 5}$

Thus,

Option B is correct.

Final answer:

$\frac{1}{ \frac{1}{(x + 2)} + \frac{1}{(x + 3)} } = \frac{ {x}^{2} + 5x + 6 }{2x + 5}$

Option B is correct.

Hope it helps you.

To learn more on brainly:

For what value of 'a' of the polynomial x^3+ 2x^2y + axy^2+ 2y^3 divisible by x +y

(A) 0

(C) 2.

(B) 1

(D) 3

https://brainly.in/question/19107057