Question

Simplify the expression given below.SOA.41 +1(I + 1)(12)O B.(I + 1)(1-2)SOC.41 +1I2-I(I — 2)-O D.I +241² +51 +141 +11²-4

Answer 1

B.

Step-by-step explanation:

The given expression is

`(x+2)/(4x^2+5x+1)\cdot(4x+1)/(x^2-4)`

Then, we can factorize the denominators are

4x² + 5x + 1 = (4x + 1)(x + 1)

x² - 4 = (x + 2)(x - 2)

So, the expression is equal to

`(x+2)/((4x+1)(x+1))\cdot(4x+1)/((x+2)(x-2))`

Then, multiply the expression and simplify

`\begin{gathered} ((x+2)(4x+1))/((4x+1)(x+1)(x+2)(x-2)) \\ \\ (1)/((x+1)(x-2)) \end{gathered}`

Therefore, the answer is B.