math

If a2 + b2 = 15 and ab = 3, then the value of (a-b)2 is:
A. 21 B. 18 C. 12 D. 9 E. 3
I really don't understand how I could possibly get this... can I please get some help?

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  1. please, help me I've been trying to figure this out for a while, but nothing works

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  2. suppose we expand (a-b)^2

    (a-b)^ = a^2 + 2ab + b^2

    = a^2 + b^2 + 2ab we know those..
    = 15 + 2(3)
    = 21

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  3. oh, okay! it took me a bit to comprehend what you did there, but now it really makes sense; before, I was confusing the 2 as multiplied by two instead of squaring, but thank you so much for helping me! :D

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