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3x^2+18x-1 Bracket out 3x^2+18x  Factorise by bringing out the common factor of 3 = 3(x^2+6x) Divide the x coefficient by 2  =  3(x^2+3x) And then remove the square on the x^2 variable and add a square to...

This question is testing your understanding of speed, distance and time and sounds much more complicated than it actually is. For a question like this one, it is best to draw a picture to help you get a b...

Firstly, get both fractions to the same demonimator 3/4 X 5/5 = 15/20.   2/5 X 4/4 = 8/20

This makes the question become (15/20 + 8/20)² 

15/20 + 8/20 = 23/20

Therefore (23...

The gradient of a straight line is the number before the x if it is in the form y=mx+c. So for y=6x+2 the gradient is 6. If the y has a factor, like 2y=6x+2, then you have to divide everything by the fact...

FIrst of all we need to understand how cos 30° and tan 60° are found. Let's think of an equilateral triangle, all three angles of the triangle are equal and 60° and each side has length 2. Let's half the ...