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Maths
GCSE

GCSE Maths: Expand and simpify 14(3x-7y)-2x(21-y)

=((143x)-(147y))+((-2x21)-(-2xy))=42x-98y-42x+2xy=2xy-98y

NH
Answered by Nathan H. Maths tutor
2784 Views

Factorise 9a^2+6ab.

So what does it mean when we factorise? Well, we want to take the highest common factor (HCF) of both of these algebraic terms and we want to take that outside the back to simplify the expression. First, ...

RD
Answered by Rebecca D. Maths tutor
4067 Views

How would I expand 3 brackets, e.g. (x + 3)(x + 4)(x + 2)?

Expanding 3 brackets is very much the same method as expanding 2. In the example you gave, to start you would expand the first two brackets out using the FOIL method (firsts, outsides, insides and leftove...

EW
Answered by Emma W. Maths tutor
5282 Views

Find the minimum value of the quadratic equation: y = x^2 + 4x - 12

To find the minimum point of a quadratic equation, the quadratic should be written in the form '(x+a)2+ b', i.e. completing the square, where the coordinates of the minimum point will be (-a,b)...

RB
Answered by Rebecca B. Maths tutor
6556 Views

How to do Difficult Surd Algebraic manipulation questions example: Rationalise the denominator of the expression: 1+5^(1/2) / 3+5^(1/2). Give your answer in its simplest form:

The first thing to do, is to assess how far the student has managed to work, and then find the missing pieces within the students skill or knoweldge. I might decide to go through the question with the stu...

AV
Answered by Alexander V. Maths tutor
3084 Views

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