Question

Разложить многочлен на множители:$x^4 + y^4$

Answer 1

(x²)²+(y²)²=(x²)²+2x²y²+(y²)²-2x²y²=(x²+y²)²-2x²y²=

=(x²+y²)²-(xy√2)²=(x²+y²-xy√2)(x²+y²+xy√2)