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Prove n^3-n is multiple of 6 for all n

factoring gives form n(n+1)(n-1) from here it should be realised that if n is not a multiple of 3 then n-1 is or n+1 is as multiples of 3 go up in 3s. Hence one of the values either n,n-1 or n+1 must be m...

AN
Answered by Adithya N. Maths tutor
6191 Views

A rectangle has the side lengths root6m and root3m, what is the area of the rectangle in its simplest form.

This question explores surds. To find the area of a rectangle we must multiply its two sides together. When multiplying surds we follow the rule that roota x roota = rootaxa, therefore in this case by mul...

HK
Answered by Hanah K. Maths tutor
4469 Views

why is it that When there is a small droplet on a phone the pixels of the screen can be seen

Given that the drop is small enough it produces a semi sphere on screen of liquid due to surface tension. This acts like a powerful convex lens for the light coming from pixels on the phone screen hence a...

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Answered by Adithya N. Physics tutor
1378 Views

How do blood vessels control body temperature?

Blood vessels control body temperature both, when the temperature gets too high as well as when it gets too low, since heat is carried in the blood stream. When the core body temperature gets too high, th...

EW
Answered by Emily W. Biology tutor
2766 Views

What is the difference between the empirical formula and molecular formula?

Both empirical and molecular formula give information about what different elements make up a compound. The empirical formula shows the simplest whole number ratio of the number of atoms of different elem...

AV
Answered by Arvand V. Chemistry tutor
11996 Views

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