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Answer: x²+10x+24

Method: A handy way of knowing how to expand brackets involves the pneumonic FOIL: 

- F stands for First, so we multiply the first term in the first bracket by t...

For multiplication: Firstly, write out the sum you are trying to do, for example 3/4 X 1/8 Then, times the top numbers by each other and the bottom numbers by each...

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 

(2x+43) + (4y-5x)=180  -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 

4y-3x=180-43 ...

If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second se...

logF=logG+logH−log(1/M)−2*logR Simplify RHS using law of logarithms, 

logF=log(GH)−log(1/M)−2logR             using law of addition
logF=log(GHM)−2logR                      ...