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This problem uses the binomial expansion formula: (x+y)ⁿ= _k=0Zⁿ _nC_k x^k y^n-k.But lets try to understand where this formula comes...

To make a percentage into a fraction you divide it by 100. This means 12.5% is 12.5/100. However, when giving fractions as an answer it needs to be done in the simplest form. To do this you need to find t...

1. Explain the product rule: d/dx ( f(x) . g(x) ) = f'(x).g(x) = g'(x) . f (x)
   2. Briefly run through trigonometric derivatives.* cos (x) differentiates to: -sin(...

To rationalise a fraction we have to eliminate the surds in the denominator. We know we can multiply the top and the bottom of a fraction by the same thing, as this is equivalent to multiplying by 1. Noti...

First of all you calculate dy/dx. To do this you look at each x individually. For the first x you multiply it by it's power and then minus 1 from the power to get 3x^2. Then multiply the next x by the pow...