,12.2.3 多项式与多项式相乘,回忆:,1.单项式乘单项式的法则 2.单项式乘多项式的法则,am,an,bm,a+b,a,b,an,bm,am + an + bm + bn,=,探索,+,+,+,( a +b )( m+ n),=,am,1,2,3,4,+an,+bm,+bn,多项式的乘法法则:,探索,例1:计算:,(1)(x+2)(x3) (2)(2x + 5y)(3x2y),解:,(1)(x+2)(x3) =x-3x+2x-6 =x-x-6,(2)(2x + 5y)(3x2y) =6x-4xy+15xy-10y =6x+11xy-10y,知识训练,计算:,小试牛刀,解:,解:,解:,例2:计算:,(1)(m-2n)(m+mn-3n),(2)(3x-2x+2) (2x+1),(2)(3x-2x+2) (2x+1) =6x+3x-4x-2x+4x+2 =6x-x+2x+2,解:,小 组 竞 赛,计算:,解:,1、漏乘,注 意:,2、符号问题,3、最后结果应化成最简形式.,1.我们共学习了哪些关于整式乘法的运算?,整式乘法,单项式乘以单项式,单项式乘以多项式,多项式乘以多项式,2.在本单元中运用了哪些数学思想?,课堂反思,