(1).(x+2)的3次方-(x-2)的3次方
=(x+2-x+2)[(x+2)²+(x+2)(x-2)+(x-2)²]
=4(3x²+4)
(2).12x的4次方-8
=1/2(x的4次方-16)
=1/2(x²+4)(x²-4)
=1/2(x²+4)(x+2)(x-2)
(3).x的4次方+7x的2次方-8
=(x²+8)(x²-1)
=(x²+8)(x+1)(x-1)
(4)a的4次方-a的3次方+a的2次方-a
=a³(a-1)+a(a-1)
=a(a-1)(a²+1)
(5).4a的2次方-9b的2次方+c的2次方-4ac
=(2a-c)²-(3b)²
=(2a-c+3b)(2a-c-3b)
(6)(ax+by)的2次方+(bx-ay)的2次方
=a²x²+2abxy+b²y²+b²x²-2abxy+a²y²
=a²x²+a²y²+b²y²+b²x²
=a²(x²+y²)+b²(x²+y²)
=(x²+y²)(a²+b²)