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Maths
GCSE

What is the easiest way to expand quadratic equations?

There are many methods of expanding quadratic equations, however there is one method which I find to be far easier than the others. This method is called the "box method", and allows this to be ...

AC
Answered by Alexander C. Maths tutor
14351 Views

(2x + 3y)^2 – (2x – 3y)^2 = 360 show that xy is a multiple of 5

Expand first brackets:

4x2+6xy+6xy+9y2

Expand second brackets:

4xy2-6xy-6xy+9y2

Subtract the second e...

RM
Answered by Ryan M. Maths tutor
9436 Views

Solve the simultaneous equations 5x + 3y = 24 and 3x - 4y = 26

Ok, so here are the equations5x+3y=243x-4y=26So let's multiply the first equation by 3, which gives us:15x+9y=72Now let's multiply the second equation by 5, which gives us:15x-20y=130So we're now left wit...

WS
Answered by William S. Maths tutor
11246 Views

How do I solve x^2+6x+8=0?

Ok, so we would call this a quadratic equation because it is written in the form of ax^2+bx+c=0 (in our case, a=1, b=6, c=8).Luckily, this type of quadratic equation can be factorised, so we can solve it ...

WS
Answered by William S. Maths tutor
15202 Views

Solve the simultaneous equations y = 2x-3 and x^2 +y^2 = 2

Let the first equation be equation 1 and the second equation be equation 2.

Firstly, you must substitute equation 1 into equation 2. This is because there are currently two unknown values...

DD
Answered by Daniel D. Maths tutor
28832 Views

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