(1)1-100x² =(1+10x)(1-10x)
(2)-0.16+a²b²=(ab)²-0.4²=(ab+0.4)(ab-0.4)
(3)(a+b+c)²-(a-b-c)²
=(a+b+c+a-b-c)(a+b+c-a+b+c)
=2a(2b+2c)
=4a(b+c)
(4)9a²-(b-c)²
=(3a+b-c)(3a-b+c)
5)100p²-4q的6次方
=(10p)²-(2q³)²
=(10p+2q³)(10p-2q³)
=4(5p+q³)(5p-q³)
(6)4(2x+y)²-9(x-2y)²
=[2(2x+y)]²-[3(x-2y)]²
=[2(2x+y)+3(x-2y]][2(2x+y)-3(x-2y]
=[4x+2y+3x-6y][4x+2y-3x+6y]
=(7x-4y)(x+8y)