Question

write the following cubes in the expanded form. (3a-2b) cube

Answer 1

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$(3a - 2b) ^{3} \\ \\ = (3a)^{3} - (2b) ^{3} - 3 \times 3a \times \\ 2b(3a - 2b) \\ \\ = 27a ^{3} - 8b ^{3} - 18ab(3a - 2b) \\ \\ = 27a ^{3} - 8b ^{3} - 54a^{2} b + 36ab ^{2}$




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Answer 2

The answer is 27a³ - 8b³ - 54a²b + 36ab²

Expanded form in mathematics is the term used to describe a number's enlarged form. It is a manner of writing numbers that indicates the value of each individual digit. The place value representation of the integers will result in the creation of a new algebraic expression.

Explanation:

Formula:

(a - b)³ = a³ + b³ - 3ab (a - b)

(3a - 2b)³=(3a)³ - (2b)³ - 3(3a) (2b) [(3a) - (2b)]

(3a - 2b)³=27a³ - 8b³ - 18ab (3a - 2b)

(3a - 2b)³ = 27a³ - 8b³ - 54a²b + 36ab²

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