ra1500
Badges: 11
Rep:
?
#1
Report Thread starter 4 years ago
#1
N is an integer greater than 1. Use algebra to show that (n^2-1) +(n-1)^2 is always equal to an even number please?
0
reply
RDKGames
Badges: 20
Rep:
?
#2
Report 4 years ago
#2
(Original post by ra1500)
N is an integer greater than 1. Use algebra to show that (n^2-1) +(n-1)^2 is always equal to an even number please?
Expand the expression fully and use your facts about even numbers to show that the expression is indeed even.
0
reply
16Characters....
Badges: 13
Rep:
?
#3
Report 4 years ago
#3
(Original post by ra1500)
N is an integer greater than 1. Use algebra to show that (n^2-1) +(n-1)^2 is always equal to an even number please?
Expand the brackets.
0
reply
inbetweendays
Badges: 1
Rep:
?
#4
Report 4 years ago
#4
(Original post by ra1500)
N is an integer greater than 1. Use algebra to show that (n^2-1) +(n-1)^2 is always equal to an even number please?
In fact I would factorise the complete the square...not expand brackets...
1
reply
xenobiologist
Badges: 3
Rep:
?
#5
Report 4 years ago
#5
When you expand the brackets you will find that every term is divisible by 2. Therefore, that expression will always be equal to an even number
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

If you haven't confirmed your firm and insurance choices yet, why is that?

I don't want to decide until I've received all my offers (2)
50%
I am waiting until the deadline in case anything in my life changes (1)
25%
I am waiting until the deadline in case something in the world changes (ie. pandemic-related) (1)
25%
I am waiting until I can see the unis in person (0)
0%
I still have more questions before I made my decision (0)
0%
No reason, just haven't entered it yet (0)
0%
Something else (let us know in the thread!) (0)
0%

Watched Threads

View All