: Factorise
9a² +6ab + b²
Answers
Answered by
37
Given
Factorise
9a² +6ab + b²
Solution
Applying identity to solve this Factorise
(a + b)² = a² + 2ab + b²
= 9a² + 6ab + b²
= (3a)² + 2 × 3a × b + (b)²
= (3a + b)²
= (3a + b)(3a + b)
Some important identities
- (a+b)² = a² + b² +2ab
- (a-b)² = a² + b² - 2ab
- (a+b)³ = a³ + b³ + 3ab(a+b)
- (a-b)³ = a³ -b³ - 3ab(a-b)
- a² - b² = (a+b)(a-b)
- a³ + b³ = (a+b)(a² - ab +b²)
- a³ - b³ = (a-b)(a² + ab +b²)
Answered by
5
Answer:
as we use (a+b)2
Step-by-step explanation:
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