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1、第18课: 多项式乘法公式 平顶山市十一中YUAN2.2.利用完全平方公式计算利用完全平方公式计算: :（1 1）1021022 2 ；（；（2 2）1971972 2 . .(1) (2a3)2 (2a+ 3)21.用乘法公式计算：用乘法公式计算：(2) (2a3)2 (a+1) (a1) ;(3) x(x+1)(x+3) (x3);(4) (2xy)(2x+y)(x+2y) (x+2y);8/20/202423.3.先化简再求值先化简再求值: : 3(x-1) 3(x-1)2 2-5(x+1)(x-1)+2(x+1)-5(x+1)(x-1)+2(x+1)2 2 , ,其中其中x=-3,x=
2、-3,(2)(x+3)(x-2)-(x-5)(2)(x+3)(x-2)-(x-5)2 2 ; ;1.1.计算计算: :答案答案 -6-6 (1)(x+3)(1)(x+3)2 2-(x+2)(x-1)-(x+2)(x-1) ; ;（3 3）(2x+3)(3x-2)-6(x-1)(2x+3)(3x-2)-6(x-1)2 2 -17x-17x2.2.已知已知x x2 2=3,=3,求求x(x+3)x(x+3)2 2-x(x-1)-x(x-1)2 2-2(4x+1)-2(4x+1)的值的值答案答案 8x8x2 2-2-2 (4) (a+b-3)(a+b+3)(4) (a+b-3)(a+b+3)8/20
3、/20243(1)、2x(x+1)+3x(2x-5) 1.化简化简(4) (a+3b) (a- -3b) - -(a+b) (a- -b) (5) (a- -1)2 - -(a+3) (a- -3) (6) (- (-x-y)(-x+yx-y)(-x+y)- (-x-y)- (-x-y)2 28/20/20244(1)、2x(x-1)-x(2x-3) 1.化简化简(2) (-a-2b) (a- -2b) - -(a+2b)2 +4ab(3) (a-3-3)2 - -(a+3) (a- -1) +8a(4) ( (x-y)(x+yx-y)(x+y)- (-x-y)- (-x-y)2 2+2y+2
4、y2 2(6) 12(x-y)(x-y)3 3 4(x-y)(x-y)(7) (a+b) (a- -b)- -(a+b)2(4a2b-2ab2)2b8/20/20245 1.化简化简(1) (a-2b) (a+2b) - -(a+2b)2 +4ab 【答案答案-8b2(2) (a-(a-b)(a+bb)(a+b)- (a-b)- (a-b)2 2+2b+2b2 2 答案答案2ab2ab(6) 15(x-y)(x-y)3 3 3(x-y)(x-y)(3) (-a+b) (a+b)- -(a+b)2(4a2b-4ab2)2b 【答案答案0】(4) (a+b-5)(a+b+5)(4) (a+b-5)
5、(a+b+5)8/20/20246 1.化简化简(4) (a-2b) (a+2b) - -(a+2b)2 +8b2 答案答案4ab(5) (a-2-2)2 - -(a+5) (a- -1) -5 【答案答案-8a】(6) (x-y)(x-y)(x-y)(x-y)2 2 (x-y)(x-y)2 2(x y)y)3 3 答案（答案（x-y)x-y)4 4 (8) 15(x-y)(x-y)6 6 5(x-y)(x-y)2 2(3) 9 3n 3n1 (1) (a2 a3) ( a4 a1 ) (2) a2a3+ a6a+a5 8/20/20247 1.化简化简 (4) (a+3b)2 - - (a+3b) (a- -3b) )- - 18b2 (5) (a-3-3)2 - -(a+1) (a- -2) -11-11(6) ( (x-yx-y) ) 3 3(x-y)(x-y)2 2 ( (x-y)x-y)(x y)y)4 4(8) 12(x-y)(x-y)7 7 3(x-y)(x-y)2 2(3) 9 3n 3n1 (1) (a4 a3)(a3a2)a (2) 3a3a2 2aa3 3+2a+2a4 4 aa- - a a5 58/20/20248
