Need help (1 Viewer)

[bossleymaths]

Need help 3 unit ques.

Simplify this:

[x^a/x^b]^a+b-c * [x^b/x^c]^b+c-a * [x^c/x^a]^c+a-b

its worth 3 marks

my answer was 1^a+b+c, but i did it in like 30 seconds and didnt go back to check, so can some1 please tell me if its right.

i thought it is pretty simple

 

[johnec10]

yeah i was bored so i did it
and cos u get x^[(a-b)(a+b-c)+(b-c)(b+c-a)+(c-a)(c+a-b)]
and expanding [(a-b)(a+b-c)+(b-c)(b+c-a)+(c-a)(c+a-b)] gives:
a^2 -ac -b^2 +bc +b^2 +b^2 -ab -c^2 -bc -a^2 +ab
and all of these cancel out to give 0
and x^0=1
so its 1

 

[tacogym27101990]

one to the power of anything is one

 

[friction]

1 to the power of anything is still 1.