Question

Prove that (2n+5)^2-(11-4n)^2 is divisible by 12, if n is an integer.

PLEASE ANSWER ASAP I NEED THIS!

Answer 1

Answer:

steps below

Step-by-step explanation:

(2n+5)²-(11-4n)² = (4n²+20n+25) - (121-88n+16n²)

= -12n²+108n-96

= 12(-n²+9n-8) .... multiple of 12