a平方(x减Y)加16(Y减X) (X平方加Y平方)减4X平方Y平方)怎么写
问题描述:
a平方(x减Y)加16(Y减X) (X平方加Y平方)减4X平方Y平方)怎么写
答
a²(x-y)+16(y-x)
=a²(x-y)-16(x-y)
=(x-y)(a²-16)
=(x-y)(a+4)(a-4)
(x²+y²)²-4x²y²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²