16(x-y)(x-y)-25(x+y)(x+y)=?x的4次方+4乘y的4次方=?因式分解,

问题描述:

16(x-y)(x-y)-25(x+y)(x+y)=?x的4次方+4乘y的4次方=?因式分解,

16(x-y)(x-y)-25(x+y)(x+y)=[4(x-y)]的平方-[5(x+y)]的平方=
[4(x-y)-5(x+y)][4(x-y)+5(x+y)]=(-x-9y)(9x+y)

16(x-y)(x-y)-25(x+y)(x+y)
=[4(x-y)]²-[5(x+y)]²
=(4x-4y+5x+5y)(4x-4y-5x-5y)
=(9x+y)(﹣x-9y)
=﹣(9x+y)(x+9y)
x的4次方+4乘y的4次方
=x^4+4x²y²+4y^4-4x²y²
=(x²+2y²)²-(2xy)²
=(x²+2xy+2y²)(x²-2xy+2y²)