分解因式:(x²+4x+4+y²)÷(x+y+2); 计算;(x²y)²*(xy)^n
问题描述:
分解因式:(x²+4x+4+y²)÷(x+y+2); 计算;(x²y)²*(xy)^n
答
(x²+4x+4 - y²)÷(x+y+2)
=[(x+2)²-y²] ÷(x+y+2)
=(x+2+y)(x+2-y) ÷(x+y+2)
=x-y+2
; 计算;(x²y)²*(xy)^n
=x^4y²×x^ny^n
=x^(n+4)y^(n+2)