因式分解 144x²-9y²16m⁴-8m²+1

问题描述:

因式分解 144x²-9y²
16m⁴-8m²+1

1、=9(16x²-y²)
=9(4x+y)(4x-y)

2、=(4m²)²-2×4m²+1
=(4m²-1)²
=(2m+1)²(2m-1)²

144x²-9y²
=(12x+3y)(12x-3y)
=9(4x+y)(4x-y)
16m⁴-8m²+1
=(4m²-1)²
=[(2m+1)(2m-1)]²
=(2m+1)²(2m-1)²