Basically the question was in an exam I sat today, and it states
Expand Fully and simplify:
$\displaystyle x(x-1)^2$
Basically everyone has a different answer, and so I was wondering if any of you could help me out? Thanks.
Basically the question was in an exam I sat today, and it states
Expand Fully and simplify:
$\displaystyle x(x-1)^2$
Basically everyone has a different answer, and so I was wondering if any of you could help me out? Thanks.
I think your teachers thought process was...
$\displaystyle x(x-1)^2$
$\displaystyle = x(x-1)(x-1)$ expanded
$\displaystyle = x(x^2 -2x +1)$ fully expanded
$\displaystyle = x^3 -2x^2 +x$ simplified
...Which is poorly worded, but I'm going to go out on a limb and guess he wasn't an english major.
One of my friends got the answer
$\displaystyle = x^3 -2x^2 +x$
$\displaystyle = (x^2 - x)(x - 1)$
Trying to convince him that it is wrong, but im not sure...
Plus the teacher wont give us the test back until at least next Friday as we were the first class to sit the test...