simplify: (2a + b)³ - (20-b)³
Answers
Answered by
26
Correct Question :-
- (2a + b)³ - (2a - b)³
Solution :-
→ (2a + b)³ - (2a - b)³
- Apply identity
- a³ - b³ = (a - b)(a² + ab + b²)
→ 2a + b = a
→ 2a - b = b
- According to question
→ [(2a + b) - (2a - b)][(2a + b)² + (2a + b)(2a - b) + (2a - b)²]
- Apply identity
- (a + b)² = a² + b² + 2ab
- (a - b)² = a² + b² - 2ab
- a² - b² = (a + b)(a - b)
→ [2a + b - 2a + b][4a² + b² + 4ab + 4a² - b² + 4a² + b² - 4ab]
→ 2b[4a² + 4a² + 4a² + b² - b² + b² + 4ab - 4ab]
→ 2b[12a² + b²]
→ 24a²b + 2b³
Answered by
4
Step-by-step explanation:
Correct answer:
- ( 2a+ b) ³ - ( 2a-b) ³
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