Question

factorise 6x^2+5x-6​

Answer 1

Step-by-step explanation:

6x^2+5x-6

6x^2-4x+9x-6

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

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

Answer 2

$\huge\mathtt{{\underline{\underline{{\blue{A}}{\orange{N}}{\pink{S}}{\red{W}}{\green{E}}{\purple{R}}!}}}}$

$\small{ }$

$\large\bold\color{navy}{To~factorise:}$

$\large\mathtt{6x^2+5x-6}$

$\large\color{navy}{{\boxed{S=5,~~P=(-36)~~~~9,(-4)}}}$

$\large\implies\mathtt{6x^2+(-4x)+9x-6}$

$\large\implies\mathtt{[2x(3x-2)]+[3(3x-2)]}$

$\large\implies\mathtt{(3x-2)(2x+3)}$

$\large\bold\color{navy}{\therefore The~factors~are:}$

$\large\mathtt{{\underline{\underline{(3x-2)~~and~~(2x+3)}}}}$

$\small{ }$

$\huge\rm\color{red}{Hope~it~helps..!!}$

^_^