Sum/Difference of Two Cubes (Leaving Cert Mathematics): Flashcards

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Sum/Difference of Two Cubes
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Formula for a3−b3a^3 - b^3

(a−b)(a2+ab+b2)(a-b)(a^2+ab+b^2)

Formula for a3+b3a^3 + b^3

(a+b)(a2−ab+b2)(a+b)(a^2-ab+b^2)

Are cube formulas in log tables?

No, must be learnt

What is a cube term?

Expression in form a3a^3

Express 27 as a cube

333^3

Express 8y38y^3 as a cube

(2y)3(2y)^3

First factor in a3−b3a^3 - b^3 factorisation

(a−b)(a-b)

First factor in a3+b3a^3 + b^3 factorisation

(a+b)(a+b)

Second factor in a3−b3a^3 - b^3

a2+ab+b2a^2+ab+b^2

Second factor in a3+b3a^3 + b^3

a2−ab+b2a^2-ab+b^2

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