Factoring Completely!

13b^2-13

I got
(13b-13)(1b-1).

On my test my teacher said it was party wrong.And she underlined the two Thirteen's i had in my answer.
And i don't understand why!?
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Also on another one.The problem is..
2d^2+3d-2

I got
(2d+2)(1d+1)

But she crossed out the numbers two and one, on my paper.And i don't understand Why?

Please if you could HELP ME!
i would be very greatful!
thanx

Factor completely means complete. You can factor 13 out...
13(b-1)(b+1)

if you multiply out what you put in parenthisis, it wont be equal to the original. Notice the - sign on the last term.
Try
(2d-1)(d+2)

what is any number to a negative power equal to?

Any number to a negative power is equal to its reciprocal raised to the positive power. For example, if we have a number a raised to the power of -n (a^(-n)), it is equal to 1/(a^n).

In mathematical notation: a^(-n) = 1/(a^n)

This is because a negative exponent indicates the reciprocal of the number raised to the positive power. The reciprocal of a number is obtained by taking its multiplicative inverse, where the reciprocal of a non-zero number a is 1/a.

So, for any number to a negative power, we can simply take the reciprocal of the number raised to the positive power to get the answer.