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Maths
GCSE

Prove algebraically that the square of any odd number is always also an odd number.

Firstly, an algebraic expression of an odd number should be identified, such as 2n+1 or 2n-1. Doing this would also indicate the knowledge that 2n is always an even number, which will be important further...

Answered by Matthew H. Maths tutor
16699 Views

Sketch the graph of y= (x^2) -2x -3 labelling the turning points and points of intersection

The gradient of the curve equals the first derivative.dy/dx = 2x - 2At the turning point the gradient equals zero.2x -2 = 02x = 2 x= 1to find the y co-ordinate to this point substitute x = 1 into the orig...

Answered by Lavana C. Maths tutor
5458 Views

Prove that the difference of the square of two consecutive odd numbers is always a multiple of 8. [OCR GCSE June 2017 Paper 5]

Part 1 of this question asks you to explain why 2n+1 is an odd number, so it is assumed that the student knows this already. The definition of any odd number is 2n+1. Since all consecuti...

Answered by Jon J. Maths tutor
8344 Views

Work out the value of 27 ^-2/3

In order to answer this question we should first break it down into simpler parts.

Using the law of indices we can start this process.

40396 Views

Multiply and simplify the following: (x-8)^2

With these questions, I always think how to write out the expression in terms that are more simple to understand:
I would write out the expression as '(x-8)(x-8)' which really shows what the power of...

Answered by Myles S. Maths tutor
9584 Views

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