(4√3-3√5)^2 simplify
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Solution :-
We need to find :-
- (4√3 - 3√5)²
Simplifying the given question using
(a - b)² = a² + b² - 2ab
Similarly
→ (4√3)² + (3√5)² - 2(4√3)(3√5)
→ 16(3) + 9(5) - 24√15
→ 48 + 45 - 24√15
→ 93 - 24√15
Hence , (4√3 - 3√5)² = 93 - 24√15
★ #LearnMore ! :-
Derivation of formula (a - b)²
It can be written as
→ (a - b)(a - b)
→ a² - ab - ab + b²
→ (a - b)² = a² + b² - 2ab
Hence , proved !
More formulas :-
(a + b)² = a² + b² + 2ab
(a - b)² = a² + b² - 2ab
(a + b)(a - b) = a² - b²
(a + b)² - 2ab = a² + b²
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