Question

what is the simplified form of 4x^2-25/2x+5

Answer 1

note the numerator is a difference of 2 squares

Answer 2

Factorize the numerator using the identity \(a^2 -b^2 = (a+b)(a-b)\), then cancel the common factor.

Answer 3

if you know what that is, makes it easier to factor

Answer 4

okk. then ?

Answer 5

then cancel out

what is 4x^2 - 25 factored

Answer 6

(2x-5)(2x+5).. ?

Answer 7

right, now

(2x + 5)(2x -5) / 2x + 5 what is left after you cancel out 2x + 5

Answer 8

(2x-5) . ii know that . but how do i find the restrictions.?

Answer 9

keep in mind the fractions are undefined when the denominator = 0

so we need to ask ourself what would make

2x + 5 = 0 , just solve it

Answer 10

2x+5=0
2x=-5
x= -5/2

Answer 11

right, the only time that this cant be done is when x = -5/2 or -2.5

make sense?

Answer 12

ohh okk ii get it. thankyou. youve been a great help !!!!! (:

Answer 13

yw