Question

3q+2 whole cube expand this value and answer but be 9m+1​

Answer 1

Hi listen it can't be 9m+1

It will be 9m+8

Answer 2

Answer:

Step-by-step explanation:

Let a=3q+r,0≤r<3

or a=3q,3q+1,3q+2

CASE 1:a=3q

⇒a³=(3q³)=27q³=9(3q³)

⇒9m where m=3q³

CASE 2:a=3q+1

a³=(3q+1)³

⇒27q³+9q(3q+1)

⇒9(3q³+3q²+1)+1

⇒9m+1 where m=3q³+3q²+1

Thus we conclude that CASE 1 2 that the cube of any positive integer is of the form 9m or 9m+1 for some integer m

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