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What rules should I look out for when manipulating expressions?

FactoriseFactorise FullyExpandSimplifyExpand and Simplify

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HIGHER TIER a) Factorise the following equation into two bracket form: 2x^2-5x-12. b)2x^2-5x-12=0. Solve this equation to find the values of x, using your answer to part a). BONUS c) Sketch the function y=2x^2-5x-12, showing any x intercepts

Express x^2+8x+15 in the form (x+a)^2-b

Solve the simultaneous equations: 2x + y = 18 and x - y = 6

b)You are given g(x) = ax + b; You are also given that g(0) = 4 and g(1) = - 6; Find the value of a and the value of b

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