Question

N is a whole number
Prove that (2n-9)(2n+4) is always an odd number.
Write your expression in the form 2(...)+1 to clearly show this is an odd number for all integer values of n
Please help me

Answer 1

Step-by-step explanation:

(2n-9)(2n+4)

4n²+8n-18n-36=0

4n(n+2)-18(n+2)

(4n-18)=0 or (n+2)=0

n=18÷4. or n= -2

n=4¹/2. or n= -2

if this is the value of n you can use this to get the answer , hope this is helpful ☺️☺️