Question

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

Answer 1

(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