几道初二下分解因式题
问题描述:
几道初二下分解因式题
(1)1-m+1/4m²
(2)(p-q)²-14(p-q)+49
(3)(m+n)³+2m(m+n)²+m²(m+n)
(4) (a²-ab)+c(a-b)
(5) a(a+b)²-4ab²
请速度写上.非常急,要求写过程,
答
(1)1-m+1/4m²
=(1-1/2m)²
(2)(p-q)²-14(p-q)+49
=(p-q-7)²
(3)(m+n)³+2m(m+n)²+m²(m+n)
=(m+n)[(m+n)²+2m(m+n)+m²]
=(m+n)(m+n+m)²
=(m+n)(2m+n)
(4)(a²-ab)+c(a-b)
=a(a-b)+c(a-b)
=(a=c)(a-b)
(5)a(a+b)²-4ab²
=a[(a+b)²-4b²]
=a(a+b+2b)(a+b-2b)
=a(a+3b)(a-b)