Question

what is the simplest form of (4x^2-25)/(2x-5)

Answer 1

(4x^2-25)/(2x-5)


((2x-5)(2x+5))/(2x-5)


2x+5

Answer 2

im still confused . can you explain how you got this?like in words?

Answer 3

I factored 4x^2-25 to get (2x-5)(2x+5) using the difference of squares rule

Answer 4

then i divided and canceled out the "2x-5" terms

Answer 5

to be left with 2x+5 as the answer

Answer 6

ok but the answers show more. can i show you my choices?

Answer 7

sure thing

Answer 8

2x – 5, with the restriction x ≠ – 5/2

2x + 5, with the restriction x ≠ 5/2

2x – 5, with the restriction x ≠ 5/2

2x + 5, with the restriction x ≠ – 5/2

Answer 9

well you can't divide by zero, so 2x-5 cannot be zero


if it were, then

2x-5=0

2x = 5

x = 5/2

which means that x = 5/2 makes the denominator zero.


So to avoid dividing by zero, we just add the restriction that x cannot be 5/2


So the answer is choice B

Answer 10

thank you

Answer 11

you're welcome