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Maths
GCSE

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

  1. We aim to factorise the numerator. This would give 6c(c^2 + 5).

  2. We then factorise the denominator. This would give 3(c^2 + 5).

  3. Since (c^2 + 5) is present in b...

Answered by Oliver B. Maths tutor
7854 Views

Factorise this formula completely 2kx + 6ky + 4kz

2kx + 6ky + 4kz

=2k (x + 3y + 2z)

Answered by Samah K. Maths tutor
3763 Views

Solve algebraically 6a + b = 16 & 5a - 2b = 19

6a + b = 16    Equation 1
5a - 2b = 19    Equation 2

Scale up one equation so both equations have same coeffient of one variable ie 2 times Equ 1

12a + 2b = 32
5a - 2b = 19

<...
Answered by Euan M. Maths tutor
2785 Views

Find the solutions to the quadratic equation x^2-9x+20=0

By factorising the expression, (x-5)(x-4)=0. This means that either (x-5)=0 or (x-4)=0. By solving these equations we can work out the solutions to be x=4,5.

Answered by Chris M. Maths tutor
2854 Views

ABCDEF is a regular hexagon (I will sketch this in the session). Find the angle DAF

What do we know about hexagons? They have six angles and vertices. The fact that the hexagon is regular implies that all interior angles are the same. We can split the hexagon up into six triangles. These...

Answered by Jordan M. Maths tutor
12876 Views

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