Question

Prove that if n is a positive even integer,then 24 divides n(n+1)(n+2).

Answer 1

As stated n is positive and even the lowest value n can have is 2 so

n(n+1)(n+2) = 2(2+1)(2+2)

= 2(3)(4)

=24

as the lowest value the next value of n could be 4,6,8 and so on which will always be divisible by 24 as the lowest value is 24 for the given equation.

Answer 2

Step-by-step explanation:

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9250×29(8x+1)(x+8)

=(8x+1)(x+8)

=(8x)(x)+(8x)(8)+(1)(x)+(1)(8)

=8x2+64x+x+8

=8x2+65x+8