Question

What is the complete factorization of x2 − 6x + 9?

Answer 1

Answer:

(x-3)²

Step-by-step explanation:

Answer 2

Answer:

The factors are (x-3) and (x-3)

Given:

$x^{2}-6 x+9$

Step-by-step explanation:

In this problem, we need to find the factors which is on multiplying the factor we will get the equation.

$\Rightarrow x^{2}-6 x+9$

Now, we need find the sum of the coefficient of ‘x’ and product of the constant.

The coefficient of ‘x’ is written as:

$\Rightarrow x^{2}-3 x-3 x+9$

Now, we need to find the common multiply and divide the equation into two,

$\Rightarrow x(x-3)-3(x-3)$

$\Rightarrow(x-3)(x-3)$

$\therefore(x-3)^{2}$

Thus, the factor is formed which is multiplied to give the equation given in the question.