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x²+6x+5=0 First of all half the x coefficient and write (x+6/2)² the take away the (6/2)² and add on the 5
(x+3)²-9+5=0
(x+3)²-4=0 ...

4e^2 + 8e

First we look to see if there is a common factor in the equation. In this case there is a common factor of 3, therefore we can take 3 out as a factor. 3(x² +5x +6) = 0
The inside of the br...

Rearranging the first equation: 3y=5x-3Then dividing by 3 so that the equation of the line will become in the form of y=mx+c, where m is the gradient and c is the interception point with the y-axis (0,c)W...

While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs.
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