Simplify: (2a+b)³+(2a-b)³
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Answered by
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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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Answered by
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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