Question

x² - x - 12

Factorise using identities​

Answer 1

hope this helps

all the best

Answer 2

Answer:

Given to factorise:-

${x}^{2} - x - 12$

Identity:-

$( x + a)(x - b) = {x}^{2} + (a - b)x - ab$

Finding a and b(numbers):

Here,

Product= -12

Sum= -1

Numbers= -4,3

Solution:-

${x}^{2} - x - 12$

$= {x}^{2} - 4x + 3x - 12$

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

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

$Answer:(x - 4)(x + 3)$