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First, we must rearrange these equations to make them easier to work with. There are many ways to do this, but I will rearrange them so they both look like x=_____ so that we can temporarily eliminate x f...

In order to factorise this, we will use the S.P.F method. S, stands for sum (2nd term) P, stands for product (3rd term)F, stands for factors (two numbers). The goal is to find 2 factors that not only add ...

First expand the denominator 9⁸/(9⁵)² = 9⁸/9¹⁰. Then simplify using power laws to give 9⁸/9¹⁰=9^-2. This can be writt...

(2a + b^0.5) ²First Expand the brackets:(2a + b^0.5) x (2a + b^0.5) 4a² + 2ab^0.5 + 2ab^0.5 + b Simplify the expression by collecti...

Using the ratio one apple: one orange is 2:3 it can be found that one orange = (3/2) * one apple. As 12 apples cost £6, one apple cost £6/12 = 50p. Therefore, one orange = (3/2) * 50p = 75p and 10 oranges...