9m^2-18m+9 how to put in factored form?
first, get rid of th e9's:
9(m^2-2m+1)
that make it easier?
What is 4x+16in factored form
To put the expression 9m^2 - 18m + 9 in factored form, you can follow these steps:
Step 1: Look for common factors
Check if there are any common factors among the terms. In this case, we notice that all three terms have a common factor of 9. We can factor out 9 to simplify the expression:
9(m^2 - 2m + 1)
Step 2: Factor the remaining quadratic expression
Now that we have factored out 9, we focus on factoring the quadratic expression in the parentheses, which is m^2 - 2m + 1.
To factor this quadratic expression, we need to find two binomials that multiply together to give us the quadratic expression. We can use the following format:
(m ± ?)(m ± ?)
Since the coefficient of the squared term (m^2) is 1, we can simply look at the constant term (1) and the coefficient of the linear term (-2) to determine the binomials.
We need to find two numbers that multiply to give 1 (the constant term) and add up to -2 (the coefficient of the linear term). In this case, these numbers are -1 and -1, as (-1) × (-1) = 1 and (-1) + (-1) = -2.
Therefore, we can write the factored form as:
9(m - 1)(m - 1)
Or, more commonly:
9(m - 1)^2
Thus, the factored form of 9m^2 - 18m + 9 is 9(m - 1)^2.