Question

factorise 3x^2-15x+12​

Answer 1

3x^2-15x+12

3x^2-12x-3x+12

3x(x-4)-3(x-4)

(3x-3)(x-4)

3×(x-1)(x-4)

Answer 2

$\boxed{\underline{\textsf{Question :}}}$

$\textsf{Factorize}\:\:3x^{2}-15x+12$

$\boxed{\underline{\textsf{Solution :}}}$

$\textsf{Now,}\:\:3x^{2}-15x+12$

$=3x^{2}-(3+12)x+12$

$\textsf{since}\:36=12\times3$

$=3x^{2}-3x-12x+12$

$=3x(x-1)-12(x-1)$

$=(x-1)(3x-12)$

$=3(x-1)(x-4)$

$\to \boxed{\small{3x^{2}-15x+12=3(x-1)(x-4)}}\:,$

$\textsf{which is the required factorization.}$