Question

prove algebraically that 10+n^2 - (n – 2)^2 is always an even number.

Answer 1

Step-by-step explanation:

let n be an even number

then n² and (n-2)² both will be even

and there difference will be even.

than on adding to 10 it will remain even.

now,let n be an odd no. than n² and (n-2)² would be odd.

then their difference will become even so on adding to 10 it will remain even.