Question

please answer the question​

Answer 1

Answer:

x-2

Step-by-step explanation:

hcf of x²-4x +4 and x²+x -6 is

x² - 4x + 4 can be written as x²-2x-2x+4 (splitting the middle term)

===> x²-4x+4 = x(x-2)-2(x-2)

= (x-2)(x-2) = (x-2)²

Similarly x² + x -6 = x²+3x-2x-6

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

we can clearly see that the only factor common between them is 1 and x-2.

hence HCF is x-2