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You are given that n is a positive integer. By expressing (x^2n)-1 as a product of factors, prove that (2^2n)-1 is divisible by 3.

X2n-1 = (xn+1)(xn-1) Therefore we can say 22n-1 = (2n+1)(2n-1) . As 2n is always even, a multiple of 3 is always either going t...

AL
Answered by Abraham L. Maths tutor
7901 Views

A circle has equation x^2 + y^2 - 8x - 10y + 5 = 0, find its centre and radius

To find the centre and radius of the circle, you need to get the equation into the form (x - a)2+ (y - b)2= r2. You can do this by rearranging to bring the x and y parts t...

MB
Answered by Martha B. Maths tutor
7182 Views

The volume of a cone is V = 1/3*pi*r^2*h. Make r the subject of the formula.

Answering the question by acknowledging the student understands what the question is actually asking. The subject of the formula sits by itself on one side of the equation and doesn't app...

AR
Answered by Alice-Kate R. Maths tutor
8982 Views

How should I revise for my A-level exams? What is the best preparation?

This is different for everyone, and the best way to learn the most effective way for revision is to implement this throughout the school year. Keep up to date with your notes and practice different types ...

Answered by History tutor
1717 Views

X is inversely proportional to Y. When X=4, Y=9. If Y=6, what is the value of X?

There are a few steps to this question. Before we can work out our value of X we will have to figure out an equation that links X and Y.Now if X were proportional to Y, then as X got bigger so would Y.We ...

AW
Answered by Andrew W. Maths tutor
5148 Views

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