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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...

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

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...

For this question, we need to simplify the expression, and to do this, we first should rearrange the way it is written, so similar (or like) terms are next to each other. So in rearranging the expression ...

Quadratic equations are a slightly bit more tricky than other algebraic equations we might have seen before. They are called quadratic equations because one of the unknown values is squared (mutiplied by ...