haihongyuan.com

# 整式乘法系统练习

1计算

107×104＝ x2·x5＝ 23×24×25＝

y·y2·y3＝ x5·x5＝ x7·x·12＝

a3·a4＝ y5·y3＝ y·y3·y4·y5＝

2计算

＋＋－＋an2·an1＝ yn·y·y2n1＝ xn·xn1·x2n·x＝ －＋＋xn1·xn1＝ 10m·10n 3·32·3m＝ x3·xn1＝ 3计算

＋＋x·xm－xm1 y·yn1－y·y2 x·x4－x3x x·x3＋x2·x2

y3·y＋y·y2 a3·a3＋a2·a4 32·3·9－3·34 103·10＋100·102

4计算

﹣b3·b2 ﹣x·﹙﹣x﹚2 ﹣﹙﹣a﹚3·﹙﹣a﹚

﹣x3·﹙﹣x﹚5 ﹣x·﹙﹣x﹚5 a4·﹙﹣a﹚3·﹙﹣a﹚3

＋﹢8m·﹙﹣8﹚3·8m 100·10m·10m1 c2·c m x3·xn1

4＝﹙ ﹚2 9＝﹙ ﹚2 16＝﹙ ﹚2 25＝﹙ ﹚2 36＝﹙ ﹚2 49＝﹙ ﹚2 64＝﹙ ﹚2 81＝﹙ ﹚2 100＝﹙ ﹚2 121＝﹙ ﹚2 144＝﹙ ﹚21 69＝﹙ ﹚2 196＝﹙ ﹚2 225＝﹙ ﹚2 256＝﹙ ﹚2 625＝﹙ ﹚2

﹙107﹚2 ﹙ z4 ﹚4 ﹣﹙ y4 ﹚3 ﹙am﹚3 ﹙ 103 ﹚3 ﹙ x4 ﹚3 ﹣﹙x3﹚5 ﹙a2﹚3 ﹙﹣a﹚2 ﹙﹣a﹚3 ﹙x﹚2 ﹙x3y﹚2 ﹙－x2﹚2 ﹙x2﹚8·a5 ﹙a2﹚3·a5

﹢﹣﹙c5﹚m ﹙ x3﹚m·xn1 ﹣﹙a3﹚3

﹙am﹚3 ﹙x2n﹚3m

⑴﹙﹣3x﹚3 ﹙﹣5ab﹚2 ﹙xy2﹚2 ﹙﹣2xy3z2﹚4 ﹙ab﹚6 ﹙2m﹚3 ﹙﹣x﹚5 ﹙ 5ab2﹚3 ﹙2×102﹚2 ﹙﹣3×103﹚3 ﹙4×106﹚2 ﹙﹣2x2y3﹚3 ﹙﹣3a2﹚2 ﹙ab2﹚3 (a2bc3g5)2

㈡﹙x2﹚3·﹙x3﹚2 (y3)4·﹙y4﹚3 ﹙ a2﹚5·﹙a4﹚4 ﹙c2n﹚3m

﹣﹙xy2z﹚4 ﹙﹣2a2b4c4﹚4 ﹣﹙﹣3xy3﹚3

㈢a3·a4·a＋﹙a2﹚4＋﹙－2a4﹚2 2﹙x3﹚2－3﹙x3﹚3＋﹙5x﹚2·x7

3﹙a2﹚4·﹙a3﹚3－﹙﹣a﹚3·﹙a4﹚4 ﹣﹙2a4﹚2·﹙﹣a﹚3＋﹙a2﹚3

﹙x4﹚2＋﹙x2﹚4﹣x·﹙x2﹚4－﹙﹣x﹚3·﹙﹣x2﹚2·﹙﹣x﹚

﹙－2x2y﹚3﹢8﹙x2﹚2·﹙－x﹚2·﹙－y﹚3

﹙﹣5a2b3﹚﹙﹣3a﹚ ﹙2x﹚3﹙﹣5x2y﹚ ﹙4×105﹚﹙5×106﹚﹙3×104﹚

3x5·5x3 4y·﹙﹣2xy3﹚ (－2.5x2)·﹙﹣4x﹚ x2y3· 2

55 xyz 16

＋﹙－3x2y﹚3·﹙－4x﹚2 ﹙﹣x2y3﹚4·﹙﹣x5y﹚3 ﹙﹣5an1b﹚·﹙﹣2a﹚

﹙－3ab﹚﹙﹣a2c﹚2·6ab﹙c2﹚3 ﹙3×105﹚×﹙5×102﹚

﹙﹣6an2﹚·3anb 8xnyn1·x2y 6abn·﹙﹣5an1b2﹚ ＋＋＋2

3

﹙﹣3xn1yn2﹚﹙－xny2﹚ 6x2·3xy ﹙2ab2﹚﹙－3ab﹚ ＋＋1

6

﹙mn﹚2﹙﹣m2n﹚ 3x2y﹙－3xy﹚ 4x4y﹙－xy3﹚5

﹙4×106﹚﹙8×105﹚ ﹙1.3×105﹚﹙3.8×106﹚ ﹙ 2xy3﹚2﹙﹣x4y﹚2

﹙－2xyn1﹚﹙－3xn1y﹚ ﹙3xn1yn﹚﹙﹣xn1y﹚ ﹙2anb3﹚﹙－＋＋＋－2

321n－1abc﹚ 16

－0.2xy2＋xy·y ﹙﹣2xy2﹚3·﹙3x3y﹚2＋4x3y2·18x4y6

15

﹙﹣4x﹚·﹙2x2＋3x2－1﹚ ﹙ab2－2ab﹚·ab ﹙x－3y﹚·﹙﹣6x﹚

5x·﹙2x2﹣3x＋4﹚ ﹙3x2y－xy2﹚·3xy ﹙4ab－b2﹚·﹙﹣2ab﹚

2x·﹙x2－x＋1﹚ 5ab·﹙2a－b﹢0.2﹚ ﹙－3x2﹚·﹙4x2－x＋1﹚

﹙2a2－a－﹚·﹙－9a﹚ ﹙﹣2ab2﹚2·﹙3a2b－2ab－4b3﹚

﹙x2y－xy2－y2﹚·﹙﹣4xy2﹚

3x2·﹙3xy﹚2－x2﹙x2y2－2x﹚ 5x·﹙x2－2x＋4﹚＋x2﹙x－1﹚

3ab·﹙a2b－ab2＋ab﹚－ab2﹙2a2－3ab＋2a﹚

111﹙m＋1﹚－﹙2m－1﹚＋﹙m－5﹚ t3－2t[t2－2﹙t－3﹚] 236

231212492349341256

①﹙x＋2y﹚﹙5a＋3b﹚ ②(2x－3﹚﹙x＋4﹚ ③﹙3x＋y﹚﹙x－2y﹚

④﹙x＋y﹚﹙x－y﹚ ⑤﹙x＋y﹚﹙a－b﹚ ⑥