If the expression 4x^2/2x-1 is written in the equivalent form 1/2x-1+A, what is A in terms of x?

Question

A) 2x+1
B) 2x-1
C) 4x^2
D) 4x^2-1

Answer 1

Maybe you mean ????
If the expression 4x^2/(2x-1) is written in the equivalent form 1/(2x-1)+A, what is A in terms of x?
4x^2/(2x-1) = 1/(2x-1) + A
A = (4x^2-1)/(2x-1)
A = (2x-1)(2x+1)/(2x-1)
A = 2x+1

Answer 2

4x^2 / 2x-1 = (1 / 2x-1) + A

subtracting (1 / 2x-1) ... (4x^2 - 1) / (2x-1) = A

factoring ... [(2x+1) (2x-1)] / (2x-1) = A

cancel quantities where appropriate

Answer 3

thank you so much +Damon +scott

Answer 4

You are welcome.

Answer 5

yes ... you're welcome