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Here we have a product of two functions - they are being multiplied together - so we need to use the product rule. The product rule is: if y = u·v, dy/dx = v·u' + u·v' (where f' stands for df/dx). u = x^4...

Firstly we must take the 2 out of the bracket, as a binomial expansion must have a coefficent of 1

(2 + x) ⁵  = 2⁵ (1 + 0.5x) ⁵

Then, it is a good idea to qu...

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available...

Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusin...

(x+4)(x+1)=0

x=-1   x=-4