Question

simplfy (2a+b)³ -(2a-b)³

Answer 1

(a-b)³=a³-3a²b+3ab²-b³

(a+b)³=a³+3a²b+3ab²+b³

Now, (a+b)³ - (a-b)³ = {a³+3a²b+3ab²+b³} - {a³-3a²b+3ab²-b³}

= 6a²b+ 2b³ ————- equation(1)

Similarly, (2a+b)³ - (2a-b)³ = ?

here a = 2a & b = b

Substitute these values in equation(1)

⇒ 6 (4a²b) + 2 b³ = 24 a²b + 2 b³

What is (2a+b) cube -(2a-b) cube?

ANSWER: 24 a²b + 2 b³

Answer 2

Answer:

24 a²b + 2 b³

Step-by-step explanation:

(a-b)³=a³-3a²b+3ab²-b³

(a+b)³=a³+3a²b+3ab²+b³

Now, (a+b)³ - (a-b)³ = {a³+3a²b+3ab²+b³} - {a³-3a²b+3ab²-b³}

= 6a²b+ 2b³ ————- equation(1)

Similarly, (2a+b)³ - (2a-b)³ = ?

here a = 2a & b = b

Substitute these values in equation(1)

⇒ 6 (4a²b) + 2 b³ = 24 a²b + 2 b³

What is (2a+b) cube -(2a-b) cube?

ANSWER: 24 a²b + 2 b³

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