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Prove n^3 - n is a multiple of 3

To prove n3-n is a multiple of 3 we rely on a few simple tricks. The first is to factorise the expression.n3-n = n(n2-1)n(n2-1) = (n-1)(n)(n+1)The next trick is...

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Answered by Isaac H. Maths tutor
13513 Views

differentiate the following equation: y = x^2 + 2x

Now remember that for differentiating polynomials the power is times by the coefficient and the power is reduced by one. This would mean that the answer now becomes: 2x + 2

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Answered by Syed saud H. Maths tutor
2754 Views

In a sale, normal prices are reduced by 18%. The sale price of an umbrella is £25.83. Work out the normal price of the umbrella.

Once again break down the question:
All prices are reduced by 18%, so sale price is 100% (normal price) - 18% (sale price) = 82%. As we know what the sale price is, but we DO NOT KNOW the normal pr...

KS
Answered by Kenji S. Maths tutor
9644 Views

Explain the four levels of protein structure, indicating the significance of each level

There are four levels to a protein's structure:Firstly, the primary structure which is the sequence of amino acids linked by peptide bonds. This level determines the type/function of the protein by influe...

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Answered by Shivani S. Biology tutor
3975 Views

What is the root mean square voltage of an alternating current?

Since the voltage of alternating current, by definition, changes over time, it is helpful for physics to describe it using a sinusoidal curve. In this case, the amplitude of that sine curve becomes is wh...

MB
Answered by Mate B. Physics tutor
1997 Views

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