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First of all, to simplify this fraction, we need to factorise the top and bottom equations. We shall start with the top equation. Now looking at the equation: 3x² - 8x -3, we know that it's a q...

If you set the three consecutive integers to be n, n+1 and n+2, we know that one of the numbers must be divisible by 2 and one must be divisible by 3. For example if you had your three numbers as: 5, 6, 7...

I'd first explain how expansion works, and that the first step is to expand the first bracket as shown below:The first bracket expands to: 5x + 5y which equals 5x + 5yThe next step I'd show would...

You should begin by factorising the numerator and denominator, in order to determine what would go into both parts of the fraction.As you can see, x² and 4x have 'x' in common, and 3x and 12 ha...

Ideally you're aiming to find common factors on both sides of the fraction that cancel out. Firstly we can break this question down into two bits. First bit is factorising 3x^2 -14x+5. Factorizing this wo...