(x2-6)2-25x2 1-(m2-2m)2 -81y5+y 因式分解
问题描述:
(x2-6)2-25x2 1-(m2-2m)2 -81y5+y 因式分解
(x2-6)2-25x2
1-(m2-2m)2
-81y5+y
因式分解
答
(x2-6)2-25x2
=(x²-6)-(5x)²
=(x²-6+5x)(x²-6-5x)
=(x+6)(x-1)(x-6)(x+1)
1-(m2-2m)2
=(1+m²-2m)(1-m²+2m)
=(m-1)²(1-m²+2m)
-81y5+y
=﹣y(81y⁴-1)
=﹣y(9y²+1)(9y²-1)
=﹣y(9y²+1)(3y+1)(3y-1)