simplyfy (2a+b)^3 + (2a-b)^3
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Answered by
1
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• (2a+b)^3 + (2a-b)^3
= [(2a)³ + 3×(2a)²×b+3×2a×b² + b³]
+ [(2a)³ - 3×(2a)²×b+3×2a×b² - b³]
/* By algebraic identities :
i) (x+y)³ = x³ + 3x²y +3xy² + y³
ii) (x-y)³ = x³ - 3x²y + 3xy² - y³ */
= 8a³ + 12a²b+6ab²+b³ - (8a³ - 12a²b + 6ab² - b³)
= 8a³ + 12a²b+6ab²+b³ - 8a³ + 12a²b - 6ab² + b³
= 8a³ - 8a³ + 12a²b+12a²b+6ab²-6ab²+b³+b³
= 24a²b + 2b³
Or
= 2b( 12a² + b²)
HOPE THIS WILL HELP YOU
Answered by
3
Answer:
2b^3 + 24a^2b
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