Prove that (2n+5)^2-(11-4n)^2 is divisible by 12, if n is an integer. PLEASE ANSWER ASAP I NEED THIS!

asked Feb 7, 2022 212k views

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

PLEASE ANSWER ASAP I NEED THIS!

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Answer:

steps below

Explanation:

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

= -12n²+108n-96

= 12(-n²+9n-8) .... multiple of 12

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