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To calculate the largest share, first we need to find out how much each part that makes up a share is worth.

To find out how much the smallest part is (i.e 1 part), we divide the value £4...

One method of solving these is by elimination. We can try to subtract a multiple of one equation from the other to cancel the x's (or y's).

5x - 3y = -1 (A)
3x + y  = 5  (B)<...

Differentiation can be done term-by-term, so we can treat the 5x³, -2x² and 2 separately. We can also 'take out' the coefficients: to differentiate 5x³, for example, di...

The problem with this fraction is the "i" on the denominator, it is not rational. To rationalise this fraction we use the complex conjugate.

This sounds more co...

The easiest way to solve this problem is by using differentiation.

dy/dx = (6x^2 + 4x + 2)/dx

dy/dx = 62x^1 + 41x^0 + 0

dy/d...