Question

Select the correct answer.

Which expression is equivalent to this quotient?
42²-82-5
42²-25
O A.
O B.
O c.
OD.
-
22 5
+ 5
2
2x +
22 45

Answer 1

2x+1 ÷ 2x+5

Explanation:

We are given:

4x²-8x-5 ÷ 4x²-25

= (4x²-10x+2x-5) ÷ ((2x)²-(5)²)

= [2x(2x-5)+1(2x-5) ÷ (2x-5)(2x+5)

Start simplifying;

= [(2x-5)(2x+1)] ÷ (2x-5)(2x+5)

Thus;

= (2x+1)/(2x+5)

Thus, the answer to your problem is, 2x+1 ÷ 2x+5