Factor Completelym, to the power 4 , minus, 6, m, cubed, plus, 9, m, squaredm 4 −6m 3 +9m 2
Question
Factor Completelym, to the power 4 , minus, 6, m, cubed, plus, 9, m, squaredm 4 −6m 3 +9m 2
Solution
The expression you provided seems to be a bit unclear, but I'm assuming you're asking to factor the polynomial m^4 - 6m^3 + 9m^2. Here's how you can do it:
Step 1: Identify the common factor in all terms. In this case, it's m^2.
Step 2: Factor out the common factor from each term. This gives us:
m^2(m^2 - 6m + 9)
Step 3: Now, we need to factor the quadratic expression inside the parentheses. This is a perfect square trinomial, which can be factored as follows:
m^2((m - 3)^2)
So, the completely factored form of the polynomial m^4 - 6m^3 + 9m^2 is m^2(m - 3)^2.
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