Question

The HCF of x^2-6x+9, x^3-27 is

Answer 1

HEY MATE HERE'S THE ANSWER

GIVEN:

$x {}^{2} - 6x + 9 = (x - 3) {}^{2} \\ x {}^{3} - 27 = (x - 3)(x {}^{2} + 9 + 3x)$

TO FIND :

H. C. F

SOLUTION :

HCF IS THE HIGHEST COMMON FACTOR OF TWO EXPRESSION OR YOU CAN SAY IT'S THE LARGEST EXPRESSION WHICH DIVIDES BOTH EXPRESSION.

THEREFORE

$(x - 3) \: \: \: is \: the \: answer$