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following BIDMAS we start with the second expression by squaring it, i.e. (x-4)(2x + 3y)(2x + 3y). It is important we do it in the right order, otherwise we could get a wrong answer. We use the FOIL (Firs...

To do this we need to find a common denominator. We have an (x + 3) on the right hand side and a difference of two squares ((x^2)-9) on the left hand side. So factorising what looks more complicated is fi...

The first step is to make sure that everything has the same base, so you can equate the powers. For example if you have an equation 2² = 2^x you know that x must equal 2. So with this...

Since L is parallel to 4x-2y=8, it means that both lines have the same gradient. (Reminder: in y=mx+c, m is the gradient)4x-2y=8, therefore 2y=4x-8, and dividing both sides by 2 results to y=2x-4. Therefo...

First, we need to expand the brackets out. To do this first times the x term in (x+4) by everything in the other brackets. We need to make sure to do this term by term. This will give us x^2+5x. Next, we ...