Respuesta :
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.
(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.
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.
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.