Question

I'm so lost please help

Answer 1

Hi, This do isn't difficult.

Look to the options:

Let's to the 1 Example:

1:

(X+3).(X -9)

Do the product one by one.

x.x + x.(-9) +3.x+3.(-9)

x^2 -9x +3x -27

x^2 -6x -27

Looking to the given equation

This is wrong
__________

Let's to the second example

2:

(X-3).(X-9)

Apply the product one by one

X.X + X.(-9) -3.(x)-3.(-9)

x^2 -9x -3x +27

x^2 -12x + 27


OooH, then this would be your answer.

The 2 option.

Answer 2

The term in parentheses is a perfect square trinomial that can be expressed as follows:

(x² - 12x + 27) → (x - 3)*(x - 9)

Answer:
(2) (x - 3)*(x - 9)

For better understanding, follow the example and the annex:
The square of the difference of two terms

Following the criteria of the previous item, we have: (a-b)² = (a-b).(a-b)

Where a is the first term and b is the second.
When we develop this product, using the distributive property of multiplication.