exam Maths Puzzle Numerical Ability

Factor completely:

27x3 - 8y3

Hint: use the “difference of two cubes method”

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exam Other Question

A line L through the origin in R^3 can be represented by parametrix equations of the form x = at, y = bt, z = ct. Use these equations to show that L is a subspace of R^3; that is Multiply and Simplify
(5+sqrt5)(3+sqrt6)

Multiply and Simplify
(^3sqrtx+4)(^3sqrtx-3)