Using formula (a‐b)² =(a²‐2ab+b²)
i . (196)²
ii . (689)²
Answers
Answered by
81
Solution:
Answered by
103
Given :-
- (196)²
- (689)²
Solution :-
→ (196)²
→ (200 - 4)²
- Apply identity
- (a - b)² = a² + b² - 2ab
→ (200)² + (4)² - 2 × 200 × 4
→ 40000 + 16 - 1600
→ 40016 - 1600
→ 38416
________________________________
→ (689)²
→ (700 - 11)²
→ (700)² + (11)² - 2 × 700 × 11
→ 490000 + 121 - 15400
→ 490121 - 15400
→ 474721
________________________________
Some Identities :-
- (a + b)² = a² + b² + 2ab
- a² - b² = (a + b)(a - b)
- a³ - b³ = (a - b)(a² + ab + b²)
- a³ + b³ = (a + b)(a² - ab + b²)
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a - b)³ = a³ - b³ - 3ab(a - b)
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