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c is a positive integer. Prove that (6c^3+30c) / ( 3c^2 +15) is an even number.

Our starting equation (6c 3 +30c) / ( 3c 2 +15) can be factorised by 6c on the top row and 3 on the bottom row so you get 6c(c 2 +5) / 3(c 2 +5). Because (c 2 +5) is on the top and bottom row it can be cance...
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Answered by Lenya A. • Maths tutor
6509 Views

How do I multiply two brackets without missing terms when multiplying?

In order to answer these sorts of questions where you have double brackets and need to expand them it is useful to use the FOIL (First Outer Inner Last) method. By using this systematic method it ensures you...
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Answered by Andrew R. • Maths tutor
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Jodie buys 12 cans of cola. There are 330 ml of cola in each can. Rob buys 4 bottles of cola. There is 1 litre of cola in each bottle. Rob buys more cola than Jodie. How much more?

Again, I would highlight the important points of the question. Jodie buys 12 cans which are 330ml in each can. Rob buys 4 bottles which are 1 litre each. From 1), we can figure out how many ml Jodie bought. ...
NS
11636 Views

Amber earns £7 for each hour she works from Monday to Friday. She earns £10 for each hour she works on Saturday. One week Amber worked for 4 hours on Saturday. That week she earned a total of £180. How many hours did Amber work that week?

So to break this question down, I would highlight the key points of the question. She earns £7 per hour on Monday to Friday. She earns £10 per hour on Saturday You know that in one week, she worked for 4 hou...
NS
7525 Views

Finding the value of x when 3x + 5 = 35

3x + 5 = 35 In this situation, you would want to take away 5 to both sides. 3x + 5 - 5 = 35 - 5 3x = 30 Then you would want to divide both sides by 3 in order to get x on the left hand side of the equation. ...
NS
11758 Views