Question

Factor the expression below x^2 -6x+9

Answer 1

The answer is (x-3)(x-3).

Answer 2

Answer:

Factor: $(x-3)(x-3)$

Step-by-step explanation:

Given: $x^2-6x+9$

Factor the given polynomial. It is quadratic equation.

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

Using formula: $a^2-2ab+b^2=(a-b)^2$

So, first we make given polynomial to perfect square.

$\Rightarrow x^2-2\cdot x\cdot 3+3^2$

$a\rightarrow x$

$b\rightarrow 3$

$\Rightarrow (x-3)^2$

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

Hence, The factor of given polynomial is $\Rightarrow (x-3)(x-3)$