The correct option is C (a – b)(a2 + b2 + ab)Cubic Identity: a3 b3 = (a – b)(a2 + b2 + a b) ...

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Identity Matrix

a3-b3 equals

Question

a³ - b³ equals

(a- b)³ 3ab

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(a + b)(a² - b² - ab)

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(a – b)(a²+ b² + ab)

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(a + b)(a² + b² + ab)

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Solution

The correct option is C
(a – b)(a²+ b² + ab)

Cubic Identity: a³- b³ = (a – b)(a² + b² + a b)

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Similar questions

Which of the following is an expansion of the identity ${(a - b)}^{3}$ ?

x y^{2} = a^{3}, y z^{2} = b^{3}

z x^{2} = c^{3}

z^{3}

(\frac{a^{3} - b^{3}}{a^{2} + b^{2} + a b})

(a - b)^{3} + (b - c)^{3} + (c - a)^{3}

Prove the following identities :

$(i) {(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 b^{2} a$

$(i i) {(a - b)}^{3} = a^{3} - b^{3} - 3 a^{2} b + 3 b^{2} a$ [4 MARKS]

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