Classify three numbers as rational or irrational, then factorise fully — a common factor, a trinomial, and one by grouping. Simplify four expressions: expand and collect a squared binomial, divide algebraic fractions, rewrite a power product in prime bases, and reduce a fraction using the sum-of-two-cubes factors.
rational and irrational numberscommon factortrinomialsfactorising by groupingalgebraic fractionssum of two cubes
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