x的4次幂-y的4次幂= 4(x+y)눀-(y-x)눀

2025-03-06 17:35:29
推荐回答(2个)
回答1:

x的4次幂-y的4次幂
=(x²+y²)(x²-y²)
=(x²+y²)(x+y)(x-y)

4(x+y)²-(y-x)²
=(2x+2y+y-x)(2x+2y-y+x)
=(x+3y)(3x+y)

回答2:

x的4次幂-y的4次幂
=(x^2-y^2)(x^2+y^2)
=(x-y)(x+y)(x^2+y^2)

4(x+y)²-(y-x)²
=(2x+2y-y+x)(2x+2y+y-x)
=(3x+y)(x+3y)

二者相等?