25-9q^4.16x^2-(y+z)^2.a^4-16b^4.9m^2+6mn^2+n^4.因式分解解答过程
问题描述：
25-9q^4.16x^2-(y+z)^2.a^4-16b^4.9m^2+6mn^2+n^4.因式分解解答过程
答
25-9q^4
=-(9q^4-25)
=-(3q²+5)(3q²-5)
16x^2-(y+z)^2
=(4x)²+(y+z)²
=(4x+y+z)(4x-y-z)
a^4-16b^4
=(a²+4b²)(a²-4b²)
=(a²+4b²)(a+2b)(a-2b)
]
9m^2+6mn^2+n^4
=(3m+n²)²