SOLUTION: Hi, my homework is telling me to factor this equation: 4x^2-12x+9. They say that the answer is (2x-3)^2. I am very confused and I would appreciate your help. Thank You.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, my homework is telling me to factor this equation: 4x^2-12x+9. They say that the answer is (2x-3)^2. I am very confused and I would appreciate your help. Thank You.       Log On


   

Question 771601: Hi, my homework is telling me to factor this equation: 4x^2-12x+9. They say that the answer is (2x-3)^2. I am very confused and I would appreciate your help. Thank You.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, my homework is telling me to factor this equation: 4x^2-12x+9. They say that the answer is (2x-3)^2. I am very confused and I would appreciate your help.
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Both ends are squares.
4x^2 = (2x)^2
9 = 3^2
The middle term is negative, so it's (-3)^2
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Try that first.
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Since %282x-3%29%5E2+=+4x%5E2+-+12+%2B+9 it is correct.
What are you confused about?