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Maths
GCSE

Expand and simplify (5x – 2y)(3x – 4y)

In this question, we are asked to 'expand' out the brackets. What this means is we need each term in one set of brackets (5x and -2y) to be multiplied by each term in the other set of ...

MA
Answered by Maymana A. Maths tutor
18966 Views

Factorising a Quadratic

Factorising a quadratic polynomial of the form,

ax2 + bx + c = 0

can be done in many depends depending on the values we have for a, b and c. 

Some s...

HS
4137 Views

Solve the quadratic equation 3x^2 + x – 5 = 0 give answers to 3 decimal places

To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we ...

DR
Answered by David R. Maths tutor
42881 Views

Express 4/(2-√2) in the form a+b√2 and write down the values of a and b.

This is a typical exam question which some students may find confusing.The trick to this question is realising that you have to rationalise the denominator. (Topic: Surds)4/(2-√2) = 4/(2-√2) x (2+√2)/(2+√...

WA
Answered by William A. Maths tutor
23481 Views

Work out the points of intersection of the graphs of y= (x+2)(x-4) and y=3x+6.

3x+6=(x+2)(x-4)

3x+6 = x2-2x-8

x2-5x-14=0

(x-7)(x+2)=0

x=7 so y=27

and x=-2 so y=0

EL
Answered by Edward L. Maths tutor
4535 Views

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