Question

Factorise the following. 2x^ - 5x + 3

Answer 1

Given equation

$2x^{2} -5x+3=0$

Solving, we get,

$2x^{2} -5x+3=0\\\implies 2x^{2} -2x-3x+3=0\\\implies 2x(x-1)-3(x-1)=0\\\implies (2x-3)(x-1)=0$

$\boxed{\boxed{\bold{Therefore, \ the \ factorised \ expression \ is \ (2x-3)(x-1)}}}}}$

                                                       

Answer 2

$2 {x}^{2} - 5x + 3= 0 \\ \\ = >2 {x}^{2} - 2x - 3x + 3 = 0 \\ \\ = > 2x(x - 1) - 3(x - 1) = 0 \\ \\ = > (2x - 3)( x- 1) = 0$