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As humans breathe in, the ribcage moves upwards and outwards. As this happens, the diaphragm flattens and moves down. This allows air to move into the lungs causing an increase in volume within the lungs....

(i): 15x^(2)+7 --- in order to arrive at this answer, we can divide the equation into 3 separate parts: 5x^(3) and 7x and 3. For the first part, you would multiply the first number, 5 by the power, in thi...

Oxbridge admissions tutors are not looking for someone who is good at maths at school, they are looking for someone who will thrive studying mathematics at university. These are often two very different t...

First we must think about the fraction on the left hand side - we have to multiply everything by x-1 in order to get rid of the fraction. This leaves us with 3x+2+3(x-1)=4(x-1). Then, we must expand the b...

First of all, the best thing to do is to split the question into its different components:

5 x q^2 x p^12 / 10 (q x p^3)^2

Next we want to get rid of the brackets. With indices there are sev...