因式分解:16(x-1)²-(x+2)²

2024-12-26 16:46:30
推荐回答(5个)
回答1:

原式=4²(x-1)²-(x+2)²
=[4(x-1)]²-(x+2)²
=[4(x-1)+(x+2)][4(x-1)-(x+2)]
=(4x-4+x+2)(4x-4-x-2)
=(5x-2)(3x-6)
=3(5x-2)(x-2)

回答2:

原式=[4(x-1)-(x-2)][4(x-1)+(x-2)]=(3x-6)(5x-2)

回答3:

16(x-1)²-(x+2)²
=(4x-4)^2-(x+2)²
=(3x-6)(5x-2)

回答4:

16(x-1)²-(x+2)²
=[4(x-1)]²-(x+2)²
=[4(x-1)+(x+2)][4(x-1)-(x+2)]
=(5x-2)(3x-6)

回答5:

16(x-1)²-(x+2)²
=(4x-4+x+2)(4x-4-x-2)
=(5x-2)(3x-6)