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Show me why the product of a squared and a cubed is a to the power of 5.

When we find the product of two terms that has the same base (in this case, a), we can simply add the powers. This can be explained using knowledge of squares and cubed. a2 = a...

LM
Answered by Leon M. Maths tutor
5897 Views

expand (x-3)^2

firstly explain (x-3)2 = (x-3)(x-3) on the whiteboard I'd draw a square grid with each of the numbers, then I'd multiply out. E.g. x multiplied by x = x2; x multiplied by -3 = -3x an...

IT
Answered by Imogen T. Maths tutor
7806 Views

2x + 7y = 14 and x + y = 2. Find the value of x and y which satisfy both equations.

There are 2 ways to solve simultaneous equations which are by substitution or elimination. In this example you can use both but elimination is simpler. So we have 2x + 7y = 14 and x + y = 2. To use elimin...

AS
Answered by Amir S. Maths tutor
3937 Views

Differentiate x^x

With the methods we know at A Level we cannot current differentiate xx in its current form. Therefore let y = xxTo turn it into a form we can differentiate we take the natural log o...

Answered by Maths tutor
2600 Views

I have invested £10000 for 5 years and I how have £12763 in my account. What is my banks interest rate?

This question is an example of compound interest rates. The question asks to find the interest rate of the bank. So first of all we should form an equation relating our initial amount, interest rate, time...

AS
Answered by Amir S. Maths tutor
2803 Views

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