Question

(4√3-3√5)^2 simplify​

Answer 1

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