The area of a square is 4x2 - 12x + 9. Which of the following will be the side of the square ?

(2x + 3) (2x - 3) (3x -2) (3x + 2)

(2x - 3)

We know that, The area of the square = side2 We have, 4x2 - 12x + 9 =4x2 - 12x + 9  =4x2 - (6 + 6)x + 9  =4x2 - 6x - 6x + 9 =2x(2x - 3) - 3(2x -3) =(2x - 3)(2x - 3) =(2x - 3)2 The side of square =  (2x-3)