Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e. g. 8 x 10 = 80) Multiply the first and last numbers. (e. g. 6 x 12 = 72) Now subtract your second answer from the first. (e. g. 80 - 72 = 8) Try it with your own numbers. Why is the answer always 8?

Question

Mathematics

Kane Patrick

18 July, 13:27

Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e. g. 8 x 10 = 80) Multiply the first and last numbers. (e. g. 6 x 12 = 72) Now subtract your second answer from the first. (e. g. 80 - 72 = 8) Try it with your own numbers. Why is the answer always 8?

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Answers (1)

Know the Answer?

Denzel Nguyen · Answer 1

Step-by-step explanation:

let the consecutive even numbers be 2n-2,2n, 2n+2,2n+4 where n>0 and n is an integer.

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

=4n²+4n - (4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

=8