Question

Factorise X to the power 4 + y to the power 4

Answer 1

Answer:

(x²+y²+xy√2)(x²+y²-xy√2)

Step-by-step explanation:

x⁴+y⁴

Add and subtract 2x²y²

(x⁴+y⁴+2x²y²) - 2x²y²

Using identity x²+y²+2xy = (x+y)²

(x²+y²)² - (xy√2)²

Using identity a²-b²=(a+b)(a-b)

(x²+y²+xy√2)(x²+y²-xy√2)..................answer

hope it helps. ◝(⁰▿⁰)◜