内容正文:
因式分解
a(a+1)=_________
(a+b)(a-b)=__________
(a+1)2 = __________
填一填
a2 - b2
a2+2a+1
a2+a
a2 - b2= ( ) ( )
a2+2a+1= ( )
a2+a=( ) ( )
a
a+1
a+b
a-b
a+1
你能发现这两组等式之间的联系和区别吗?它们的左右两边有何特点?
整式的乘法
特点: 把多项式和的形式转化为几个整式的积的形式.
特点:由整式积的形式转化成多项式和的形式.
2
定义
一般地,把一个多项式化成几个整式的积的形式,叫做因式分解,有时我们也把这一过程叫做分解因式。
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理解概念
判断下列各式哪些是整式乘法?哪些是因式分解?
(1).x2-4y2=(x+2y)(x-2y)
(2).2x(x-3y)=2x2-6xy
(3).(5a-1)2=25a2-10a+1
(4).x2+4x+4=(x+2)2
(5).2πR+ 2πr= 2π(R+r)
因式分解
整式乘法
整式乘法
因式分解
因式分解
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