Question

the H.CF of x^2-6x+9,x^3-27 is​

Answer 1

Answer:

(x-3)

Step-by-step explanation:

(x²-6x+9) = x(x-3)-3(x-3) = (x-3) (x-3)                                          (-3) + (-3) = -6                    

(x³-27) = (x³-(3)³) = (x-3)³= (x-3) (x-3) (x-3)                                     (-3)*(-3) = 9

This two term common  (x-3) this for HCF

Answer 2

x^2-6x+9 = (x-3)^2

x^3-27 = x^3-3^3

(a^3-b^3) = (a-b)(a^2+ab+b^2)

so,

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

The common term is the HCF

so,

HCF is (x-3)