-1^2?! (binomial help!)
Maths and statistics discussion, revision, exam and homework help.
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-1^2?! (binomial help!)
Was just doing some binomial expansion work expanding (2-x)^6
6C0 * 2^6 * (-x)^0 = 64
6C1 * 2^5 * (-x)^1 = -192x
6C2 * 2^4 * (-x)^2 = 15*16*-1^2*x^2
I typed the last line into my calculator, and I got -240x^2... But doesn't
-1^2 = 1 ?!?!?
so I typed that in, and -1^2 = -1. But if I type in -1*-1 = 1.
What is going on? Have I made a rookie error somewhere? Why is my calculator telling me the answer is negative instead of positive? I was taught anything negative squared is positive!
Is this a case of having to work out the negative power in my head, e.g odd power = negative and even power = positive? -
Re: -1^2?! (binomial help!)A negative squared is a positive(Original post by lollage123)
Was just doing some binomial expansion work expanding (2-x)^6
6C0 * 2^6 * (-x)^0 = 64
6C1 * 2^5 * (-x)^1 = -192x
6C2 * 2^4 * (-x)^2 = 15*16*-1^2*x^2
I typed the last line into my calculator, and I got -240x^2... But doesn't
-1^2 = 1 ?!?!?
so I typed that in, and -1^2 = -1. But if I type in -1*-1 = 1.
What is going on? Have I made a rookie error somewhere? Why is my calculator telling me the answer is negative instead of positive? I was taught anything negative squared is positive!
Is this a case of having to work out the negative power in my head, e.g odd power = negative and even power = positive?
but wehn you input -1^2, your calculator thinks you want to do -(1)^2, which would be -1.
I do most of them in my head, or work them out individually to avoid mistakes such as that
Hope I helpedLast edited by CharlieBoardman; 07-04-2012 at 10:38.
but wehn you input -1^2, your calculator thinks you want to do -(1)^2, which would be -1.