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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

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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.

Answered by Daniel W. • Maths tutor

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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

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Solve 3y^2 – 60y + 220 = 0 using the quadratic formula:

when a quadratic equation isn't able to be solved using factorisation, the quadratic formula can be used, which has the general formula of ** **. The letters in the formula represent the coefficients in t...

Answered by Olivia C. • Maths tutor

2960 Views

Find the location and nature of the turning point of the line y=-x^2+3x+2

Location is placed where the gradient is 0.Differentiate the line to get dy/dx = -2x + 3 and set it equal to zero.2x = 3 therefore x = 1.5.Plug back into the line equation to find the coordinate. y = -(1....

Answered by Euan R. • Maths tutor

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