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Expand and simplify (3x+2) (x-5)

We expand this term by term.

To make sure we expand every term, I use the beak method. To do this, draw 2 curves over the equation from the 3x to the

Answered by Dominic S. • Maths tutor

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What is 3!/5! written in standard form?

We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1.
This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out.
This leaves ...

Answered by David A. • Maths tutor

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There are three boxes and one has a prize inside. You are told to choose a box. One of the other boxes is then opened, showing that it is empty. You are given the option to switch your choice to the other remaining box. Should you switch? Why?

Let's think of the three boxes as A, B and C.
Say we choose box A.
There is a 1 in 3 chance that our box has the prize inside, and so a 2 in 3 chance that it does not.
When a box is o...

Answered by David A. • Maths tutor

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What's the difference between the mean, median and mode? Why are there so many different types of average?!

The average we're all familiar with is called the mean average - "add them all together and divide by how many there are", but sometimes another type of average makes more sense.As an example, c...

Answered by John H. • Maths tutor

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