Question

expand (2a-5b)^3....pls fast​

Answer 1

(a-b)³ = a³-b³-3ab(a-b)

Using this identity

(2a-5b)³ = (2a)³ - (5b)³ - 3(2a)(5b)(2a-5b)

→ 8a³ - 125b³ - 30ab(2a - 5b)

→ 8a³ - 125b³ - 60a²b + 150ab²

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Answer 2

Concept:

For expanding a cubic expression, we have:

(a - b)³ = a³ - b³ - 3 a b (a - b)

Given:

(2 a - 5 b )³

Find:

We need to expand the expression.

Solution

We have the identity for finding the cubes:

(a - b)³ = a³ - b³ - 3 a b (a - b)

Using this identity

(2 a - 5 b )³ = (2 a)³ - (5 b)³ - 3 (2 a)(5 b)(2 a - 5 b)

Simplifying the expression:

(2 a - 5 b )³ = 8 a³ - 125 b³ - 30 a b(2 a - 5 b)

(2 a - 5 b )³ = 8 a³ - 125 b³ - 60 a² b + 150 a b²

Therefore, after expanding the expression (2 a - 5 b )³ , we get 8 a³ - 125 b³ - 60 a² b + 150 a b².

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