Among the following, the correct statement is
i) $(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}$
ii) $(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}$

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Solution

i) $(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}$
ii) $(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}$
These are direct formulas for finding the cube of numbers.
So both of the formulas are true.

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Similar questions

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

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

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

a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3} - 8

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