1、m²(p-q)-p+q
=m²(p-q)-(p-q)
=(m²-1)(p-q)
=(m+1)(m-1)(p-q)
2、2x²+2x+1/2
=1/2(4x²+4x+1)
=1/2(2x+1)²
3、(m+1)(m-1)-(1-m)
=(m+1)(m-1)+(m-1)
=(m+1+1)(m-1)
=(m+2)(m-1)
4、(2a-b)²+8ab
=4a²-4ab+b²+8ab
=4a²+4ab+b²
=(2a+b)²
5、x²-a²-2a-2x
=(x+a)(x-a)-2(a+x)
=(x+a)(x-a-2)
6、2x²-8x-24
=2(x²-4x-12)
=2(x-6)(x+2)