Question

5. खण्डिकरण गर्नुहोस् x^8-y^8​

Answer 1

x²ⁿ can be written as (x²)ⁿ or (xⁿ)², similarly, x^8 = (x⁴)² & y^8 = (y⁴)²

=> x^8 - y^8

=> (x⁴)² - (y⁴)² {a²-b²=(a+b)(a-b)}

=> (x⁴ + y⁴)(x⁴ - y⁴)

=> (x⁴ + y⁴){(x²)² - (y²)²}

=> (x⁴ + y⁴)(x² + y²)(x² - y²)

=> (x⁴ + y⁴)(x² + y²)(x + y)(x - y)