Question

Simplify


(2a + 4b)³ - (2a - 4b)³​

Answer 1

Answer:

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Step-by-step explanation:

→ Using the identity ,

→ (a + b)³ = a³ + b³ + 3ab(a+b)

→ (a - b)³ = a³ - b³ - 3ab(a-b)

→ A.T.Q

→ (2a + 4b)³ - (2a - 4b)³

→ (2a)³ + (4b)³ + 3(2a)(4b)[2a + 4b]

→ 8a³ + 64b³ + 24ab[2a + 4b]

→ 8a³ + 64b³ + 48a²b + 96ab²

→ (2a)³ - (4b)³ - 3(2a)(4b)[2a - 4b]

→ 8a³ - 64b³ - 24ab[2a - 4b]

→ 8a³ - 64b³ - 48a²b + 96ab²

→ 8a³ + 64b³ + 48a²b + 96ab² - 8a³ - 64b³ - 48a²b + 96ab²

→ 8a³ - 8a³ + 64b³ - 64b³ + 48a²b - 48a²b + 96ab² + 96ab²

→ 192ab²

Answer 2

Answer:

the answer is in the given attached picture

that is the answer of this question

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