Formula of (a³+b³)

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Solution

a^3 + b^3 = (a + b)(a^2 – ab + b^2)

= (a + b)^3 – 3ab(a + b)

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Similar questions

(a + b)^{2}

(a - b)^{2}

(a^{2} + b^{2})

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(a - b)^{3}

a^{3} + b^{3}

a^{3} - b^{3}

a^{3} - b^{3}

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

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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