What is the simplified form of the quantity 4 x squared minus 25 over the quantity 2 x plus 5?

2x - 5, with the restriction x ≠ - five over 2

2x + 5, with the restriction x ≠ five over 2

2x - 5, with the restriction x ≠ five over 2

2x + 5, with the restriction x ≠ - five over 2

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

Factorise the numerator

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

Applying the Difference of squares

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

(2x+5) cancels in both numerator and denominator

That implies,

= (2x-5), with restriction 2x+5 not equals to 0

or x not equals to - 5/2

So the first one is the correct answer

(2x+5), restriction, x not equals to - 5/2