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Ben: 5 apples and 3 pears costing £3.70, therefore: 5a + 3p = 3.7. Jenny: 6 apples and 6 pears costing £5.40, therefore: 6a + 6p = 5.4. (1) 5a + 3p = 3.7, (2) 6a + 6p = 5.4. Multiply equation (1) by 2: 10...

2p² + 3p + p²

Firstly, look for the terms that are alike. In this case, it's p^2.

When you add two squared terms together, you don't change the squared number...

This is a classic GCSE Pythagoras' Theorem question. 

The first thing we are going to do is draw a diagram. Once we sketch out a diagram, we can see that the ladder makes a triangle shape with the ...

Over 2000 Pythagoras discovered that when a triangle has a right angle (90 degrees), and squares are made for each of the three sides, then the biggest square has the exact same area as the two other squa...

The question is asking for 'a' to be the subject and therefore our aim is to result in an answer with the form 'a='. The first step is to expand the brackets on the left hand side by multiplying 'a' by 5 ...