Question

What is the factored form of this expression? x2 − 12x + 36 A. (x + 6)2 B. (x − 6)2 C. (x − 6)(x + 6) D. (x − 12)(x − 3)

Answer 1

The answer is:

(x - 6)²

Work/explanation:

To factor the expression
`\sf{x^2-12x+36}`, we should look for two numbers that multiply to 36 and add to -12.

These numbers are -6 and -6.

We write the factored expression like this : (x - 6)(x - 6).

Which is the same as (x - 6)².

Therefore, the answer is (x - 6)².

Answer 2

The correct answer is A. (x + 6)^2.

Explanation:

To find the factored form of the expression x^2 - 12x + 36, we can factor it by looking for two binomials that, when multiplied, result in the original expression.

The expression can be factored as (x - 6)(x - 6), which simplifies to (x - 6)^2.

Therefore, the factored form of x^2 - 12x + 36 is (x - 6)^2.