9x^2-6x+1
This is not a complete question. Please specify what you would like to do with the given expression.
To simplify the expression 9x^2 - 6x + 1, we can factor or identify any common factors.
Step 1: Look for common factors.
In this case, there are no common factors that can be factored out from all three terms.
Step 2: Factor the quadratic expression.
To factor the quadratic expression 9x^2 - 6x + 1, we can use the method of splitting the middle term.
The quadratic expression can be written in the form ax^2 + bx + c, where
a = 9, b = -6, and c = 1.
To factor the expression, we need to find two numbers that have a product of ac (product of 9 and 1) and a sum of b (-6).
Product of ac = 9 * 1 = 9.
Sum of b = -6.
We need to find two numbers that multiply to 9 and add up to -6. The numbers are -3 and -3.
Therefore, we can rewrite the quadratic expression as follows:
9x^2 - 6x + 1 = 9x^2 - 3x - 3x + 1.
Step 3: Group and factor.
Now, we can group the terms in pairs:
(9x^2 - 3x) + (-3x + 1).
We can factor out the greatest common factor from each pair:
3x(3x - 1) - 1(3x - 1).
Step 4: Combine the common factors.
Now, we can combine the common factors:
(3x - 1)(3x - 1).
Step 5: Simplify the expression.
Finally, we can simplify the expression by writing the product of the two factors:
(3x - 1)^2.
Therefore, the simplified expression for 9x^2 - 6x + 1 is (3x - 1)^2.