Question

factorise 6x^2+11x-10​

Answer 1

$\huge\bold\red{Hey!}$

${6x}^{2} + 11x - 10 \\ {6x}^{2} +(15 - 4)x - 10 \\ {6x}^{2} + 15x - 4x - 10 \\ 3x(2x + 5) - 2(2x + 5) \\ (3x - 2)(2x + 5)$

Answer 2

❏ Question:-

factorise 6x^2+11x-10

❏ Solution:-

$\implies$ 6x^2+11x-10

$\implies$ 6x^2+15x-4x-10

[ $\because 10\times6=60=15\times4\: and \:15-4=11$ ]

$\implies$ 3x(2x+5)-2(2x+5)

$\implies$ (2x+5)(3x-2)

$\therefore$ 6x^2+11x-10=(2x+5)(3x-2)