Question

Solve plss,Factorise​

Answer 1

Step-by-step explanation:

Given Equation is 4x² - 4a²x + (a⁴ - b⁴) = 0

⇒ 4x² - 2a²x - 2a²x + (a⁴ - b⁴) = 0

⇒ 4x² - 2a²x - 2a²x - 2b²x + 2b²x + (a⁴ - b⁴) = 0

⇒ 4x² - 2a²x - 2b²x - 2a²x + 2b²x + (a⁴ - b⁴) = 0

⇒ 4x² - 2(a² + b²)x - 2(a² - b²)x + (a² + b²)(a² - b²) = 0

⇒ 2x[2x - (a² + b²)] - (a² + b²)[2x - (a² + b²)] = 0

⇒ (2x - (a² + b²))(2x - (a² - b²)) = 0

(i)

2x - (a² + b²) = 0

⇒ 2x = a² + b²

⇒ x = (a² + b²)/2

(ii)

2x - (a² - b²) = 0

⇒ 2x = (a² - b²)

⇒ x = (a² - b²)/2

Hope it helps!

Answer 2

Answer:

correct answer is x= (a2+b2)/2