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

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Sum/Difference of Two Cubes
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What is the identity for the difference of two cubes a3−b3a^3-b^3?

(a−b)(a2+ab+b2)(a-b)(a^2+ab+b^2)

What is the identity for the sum of two cubes a3+b3a^3+b^3?

(a+b)(a2−ab+b2)(a+b)(a^2-ab+b^2)

Are the sum and difference of cubes identities in the log tables?

No, they must be learnt off

How can 2727 be expressed as a cube term?

333^3

How can 8y38y^3 be expressed as a cube term?

(2y)3(2y)^3

What is the first step when factorising 64a3−125b364a^3-125b^3?

Rewrite as (4a)3−(5b)3(4a)^3-(5b)^3

What is 64a3−125b364a^3-125b^3 factorised?

(4a−5b)(16a2+20ab+25b2)(4a-5b)(16a^2+20ab+25b^2)

How is 27p9+q327p^9+q^3 rewritten in cube form?

(3p3)3+(q)3(3p^3)^3+(q)^3

What is 27p9+q327p^9+q^3 factorised?

(3p3+q)(9p6−3p3q+q2)(3p^3+q)(9p^6-3p^3q+q^2)

In the sum formula a3+b3=(a+b)(a2−ab+b2)a^3+b^3=(a+b)(a^2-ab+b^2), what is the sign before abab?

Negative

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