How do you factor (x+1)^2? The guide that I am using says 2x+1 and I don't understand how to get that.

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You mean to factor `(x+1)^2`

It is

`(x+1)^2=(x+1)(x+1)`

Both brackets on right side is simple form . So factor is complete.As for your answer (2x+1) it is ot correct.

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Sorry I meant how do you factor (x+1)^2 - x^2

`(x+1)^2 - x^2` spread the exponent to the numbers in the parenthesis you will end up with:

x^2+1-x^2

it seems like you are right because based on my calculations you will end up with 1 if you were to ever solve for x and not 1/2 as the result of the problem you are doing would suggest, the guide is wrong

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