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This is a question that requires multiple steps, and in the exam may be worth around 3 marks. One will be for expanding, one for simplifying, and one mark for working.First step: expand the brackets. This...

1.) y²/x2.) x²+2y3.) xy4.) y²-2x²

8x + 32
Highest common factor of 8 and 32 is 8
8/8 = 132/8 = 4
8x + 32 - divide through by 8
8(x + 4)
We can check this by multiplying out:
8(x + 4) 8 * x = 8x 8 * 4 = ...

(2n+1)² = (2n+1)(2n+1)
Use FOIL method= 4n²+2n+2n+1= 4n²+4n+1= 4(4n+n)+1
4n+n is just a number, therefore proved

There are 4 different methods to solve quadratics: factorisation, quadratic formula, graphically and completing the square. Today we shall solve equations by factorisation.Using the equation x²...