Write the like terms of the expression.
$a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3} + 2 a^{3} - a b^{2}$

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Solution

Like Terms :- When two or more algebraic terms have the same variables and the powers of the variables are also the same, then the terms are known as like terms.
Unlike Terms :- When two or more algebraic terms have the different variables and the powers of the variables are also the different, then the terms are known as like terms.
Given expression $a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3} + 2 a^{3} - a b^{2}$
Like terms here are $a^{3}, 2 a^{3}$
As $a^{3}, 2 a^{3}$ are the terms that have same variable and same powers of variable
Hence, $a^{3}, 2 a^{3}$ are the required like terms.

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Similar questions

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

(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}

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

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

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