SOLUTION: This is factoring perfect Square trinomials, this is the problem, m^2 - 2m + 1 We are to determine whether this is a perfect square. This is my answer: (m+1)(m+1) I know it's a pe

Question 532685: This is factoring perfect Square trinomials, this is the problem, m^2 - 2m + 1
We are to determine whether this is a perfect square. This is my answer: (m+1)(m+1) I know it's a perfect square but I know this is not the right answer to it. Could you please show me step by step how to do this one please?
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
This is factoring perfect Square trinomials, this is the problem, m^2 - 2m + 1
We are to determine whether this is a perfect square. This is my answer: (m+1)(m+1) I know it's a perfect square but I know this is not the right answer to it. Could you please show me step by step how to do this one please?
----
1st and 2rd terms are perfect squares.
Take the square root of each.
Use the sign of the middle term.
Ans (m-1)^2
==================
Cheers,
Stan H.
====================
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
This is factoring perfect Square trinomials, this is the problem, m^2 - 2m + 1
We are to determine whether this is a perfect square. This is my answer: (m+1)(m+1) I know it's a perfect square but I know this is not the right answer to it. Could you please show me step by step how to do this one please?
**
m^2 - 2m + 1
(m^2-2m+1)+1-1
The 1 inside the parenthesis came from taking half of the coefficient of the middle term(1), then squaring it (1^2)=1.
The (-1) outside the parenthesis was added in to balance the 1 we added inside the parenthesis.
(m^2-2m+1)+1-1
=(m^2-2m+1) which is a perfect square
factor: (m-1)^2
m comes from the sqrt of the first term and 1 comes from the sqrt of the last term of the perfect square. The negative sign always matches the sign of the middle term.
RELATED QUESTIONS
Determine whether the following trinomials is a perfect square. If it is, factor the... (answered by stanbon)
Okay I really do not understand this chapter could you please help with this problem... (answered by stanbon)
Help Please. determine whether each of the following trinomials is a perfect square.... (answered by bucky)
Determine whether each of the following trinomials is a perfect square. If it is, factor... (answered by jpa65@hotmail.com)
Determine whether each of the following trinomials is a perfect square. If it is, factor (answered by robert101)
Determine whether each of the following trinomials is a perfect square. If it is factor... (answered by stanbon)
Determine whether each of the following trinomials is a perfect square. If it is, factor... (answered by jpa65@hotmail.com)
Is the following trinomial a perfect square: x^2 + 4x - 4 I thought trinomials were... (answered by 303795)
Please help me find the answer to this problem: Are these polynomials perfect square... (answered by music974)