My Math Forum 2X - 2x^2 = ?

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 September 20th, 2012, 05:18 AM #1 Senior Member   Joined: Oct 2009 Posts: 895 Thanks: 1 2X - 2x^2 = ? Hi 1 = 2X - 2x^2 = ? 2 = 2X + 2x^2 = ? 3 = 2X x 2x^2 = ? I face problem in power ? 1 = 2x^-1 2 = 4x^3 3 = 4x2
 September 21st, 2012, 12:23 AM #2 Member   Joined: May 2012 Posts: 78 Thanks: 0 Re: 2X - 2x^2 = ? May you explain your problem?
 September 21st, 2012, 04:05 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,471 Thanks: 2038 For terms that are added or subtracted, identifying what they have in common allows you to factorize the overall expression. 2x - 2x² = 2x(1) - 2x(x) = 2x(1 - x) 2x + 2x² = 2x(1) + 2x(x) = 2x(1 + x) To combine powers of x that are multiplied, you add the exponents, so the product of 2x and 2x² is $^{2^{1+1}x^{1+2}}$, which equals 4x³.
September 23rd, 2012, 04:04 PM   #4
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Re: 2X - 2x^2 = ?

Quote:
 Originally Posted by r-soy Hi 1 = 2X - 2x^2 = ? 2 = 2X + 2x^2 = ? 3 = 2X x 2x^2 = ?
These are 3 problems, right? The "1", "2", and "3" in front of them are not part of the equation? I any case I see no statement of what it is you want to do. I would guess 'factor'. If so then 2x- 2x^2= 2(x- x^2)= 2x(1- x), 2x+ 2x^2= 2(x+ x^2)= 2x(1+ x), and (2x)(2x^2) (it's not a good idea to use "x" to indicate a multiplication when you are already using it to mean a variable) is already factored so I guess you mean to multiply: (2x)(2x^2)= 4x^3.

Quote:
 I face problem in power ? 1 = 2x^-1
2x^(-1)= 2(1/x)= 2/x

Quote:
 2 = 4x^3 3 = 4x2
4x^3 is already in its simplest form so I am not sure what you want here. And if, by "4x2" you mean 4x^2, the same- it is already in simplest form.

It would have helped if you had told us exactly what the problems asked you to do instead of just handing us expressions with no instructions!

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