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`a, x^2 - 3x + 2`

`= x^2 - x - 2x + 2`

`= x(x - 1) - 2(x - 1)`

`= (x - 1)(x - 2)`

`b, 4x^2 - 36x + 56`

`= (2x)^2 - 2.2x.9 + 9^2 - 25`

`= (2x - 9)^2 - 5^2`

`= (2x - 9 - 5)(2x - 9 + 5)`

`= (2x - 14)(2x - 4)`

`= 4(x - 7)(x - 2)`

`c, 2x^2 + 5x + 2`

`= 2x^2 + 4x + x + 2`

`= 2x(x + 2) + (x + 2)`

`= (x + 2)(2x + 1)`

`d, 4x^2 - 4x - 9y^2 + 12y - 3`

`= (4x^2 - 4x + 1) - (9y^2 - 12y + 4)`

`= (2x - 1)^2 - (3y - 2)^2`

`= (2x - 1 - 3y + 2)(2x - 1 + 3y - 2)`

`= (2x - 3y + 1)(2x + 3y - 3)`

`g, x^4 - 2x^3 - 4x^2 + 4x - 3`

`= x^4 - 3x^3 + x^3 - 3x^2 - x^2 + 3x + x - 3`

`= x^3 (x - 3) + x^2 (x - 3) - x(x -3 ) + (x - 3)`

`= (x - 3)(x^3 + x^2 - x + 1)`