因式分解 -(x+2)²+16(x-1)²
问题描述:
因式分解 -(x+2)²+16(x-1)²
答
-(x+2)²+16(x-1)²
=【4(x-1)-(x+2)】【4(x-1)+(x+2)】
=(3x-6)(5x-2)
=3(x-2)(5x-2)还有:(3x+2m)²-(x-2m)²:(3x+2m)²-(x-2m)²=【(3x+2m)-(x-2m)】【(3x+2m)+(x-2m)】=(2x+4m)(4x)=8x(x+2m)