人教版八年级数学上册乘法公式综合练习题精选140.docx
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人教版八年级数学上册乘法公式综合练习题精选140.docx
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人教版八年级数学上册乘法公式综合练习题精选140
(t+6)(t-6)802×798
(5y+1)(5y-1)(7a+6)(7a-6)
(x+7y)(x-7y)(7+b)(7-b)
(-9x+y)(-9x-y)(4x+9y)(-4x+9y)
(x+1)(x-1)-(x-6)(x-4)(y+9)(y-9)-(2y+4)(4y-6)
(x+9)(x-9)62×58
(2x+5)(2x-5)(a+b)(a-b)
(8x+6y)(8x-6y)(2+b)(2-b)
(2x+y)(2x-y)(1+y)(-1+y)
(a+2)(a-2)-(a-4)(a-2)(4y+9)(4y-9)-(3y-4)(2y+3)
(c+2)(c-2)202×198
(x+7)(x-7)(a+b)(a-b)
(7x+9y)(7x-9y)(10+b)(10-b)
(-5x+y)(-5x-y)(x+y)(-x+y)
(x+8)(x-8)-(x-1)(x+5)(c+4)(c-4)+(3c+6)(3c+3)
(a+3)(a-3)705×695
(s+9)(s-9)(a+b)(a-b)
(9x+y)(9x-y)(a+b)(a-b)
(-x+y)(-x-y)(5+2y)(-5+2y)
(x+3)(x-3)+(x-3)(x-6)(t+4)(t-4)-(2t-5)(3t-3)
(x+3)(x-3)95×85
(9x+8)(9x-8)(5a+b)(5a-b)
(6x+y)(6x-y)(a+5b)(a-5b)
(2x+y)(2x-y)(7+y)(-7+y)
(c+1)(c-1)-(c+4)(c-7)(2s+3)(2s-3)-(3s+8)(3s-3)
(s+1)(s-1)91×89
(a+1)(a-1)(4a+5)(4a-5)
(7x+6y)(7x-6y)(7a+9b)(7a-9b)
(x+4y)(x-4y)(9x+y)(-9x+y)
(b+1)(b-1)+(b-2)(b+9)(c+4)(c-4)-(4c+2)(3c-8)
(t+4)(t-4)303×297
(s+6)(s-6)(-a+4)(-a-4)
(x+y)(x-y)(2+b)(2-b)
(-4x+8y)(-4x-8y)(2+2y)(-2+2y)
(s+2)(s-2)+(s+9)(s+5)(b+5)(b-5)-(2b+2)(2b-5)
(a+8)(a-8)402×398
(6t+10)(6t-10)(7a+b)(7a-b)
(2x+4y)(2x-4y)(5+7b)(5-7b)
(-2x+7y)(-2x-7y)(1+9y)(-1+9y)
(c+4)(c-4)-(c-7)(c-3)(6x+8)(6x-8)-(3x+7)(2x+6)
(a+8)(a-8)44×36
(a+5)(a-5)(a+7b)(a-7b)
(x+y)(x-y)(a+b)(a-b)
(-x+6y)(-x-6y)(4+9y)(-4+9y)
(s+6)(s-6)+(s+2)(s-6)(6y+7)(6y-7)+(4y-7)(4y+1)
(t+4)(t-4)84×76
(c+2)(c-2)(a+8)(a-8)
(5x+5y)(5x-5y)(a+b)(a-b)
(x+3y)(x-3y)(3+y)(-3+y)
(y+7)(y-7)+(y+9)(y-2)(2y+8)(2y-8)-(3y-9)(4y-7)
(t+9)(t-9)805×795
(2b+7)(2b-7)(a+b)(a-b)
(9x+y)(9x-y)(a+4b)(a-4b)
(-3x+6y)(-3x-6y)(9+y)(-9+y)
(s+6)(s-6)+(s+6)(s+3)(s+5)(s-5)+(4s-7)(3s-6)
(t+4)(t-4)54×46
(3c+8)(3c-8)(-6a+8b)(-6a-8b)
(4x+y)(4x-y)(a+5b)(a-5b)
(7x+9y)(7x-9y)(x+4y)(-x+4y)
(c+10)(c-10)+(c+9)(c-4)(t+4)(t-4)+(2t+1)(2t-8)
(s+4)(s-4)91×89
(5s+1)(5s-1)(-a+8)(-a-8)
(3x+y)(3x-y)(a+b)(a-b)
(-x+y)(-x-y)(9+2y)(-9+2y)
(y+2)(y-2)+(y+6)(y-1)(a+8)(a-8)-(4a+2)(2a-8)
(b+4)(b-4)42×38
(6c+8)(6c-8)(a+9b)(a-9b)
(8x+y)(8x-y)(a+b)(a-b)
(-x+y)(-x-y)(8+5y)(-8+5y)
(a+2)(a-2)-(a-2)(a-4)(a+7)(a-7)-(3a+2)(3a-6)
(c+5)(c-5)91×89
(8a+7)(8a-7)(5a+b)(5a-b)
(x+5y)(x-5y)(a+5b)(a-5b)
(-x+4y)(-x-4y)(2+y)(-2+y)
(t+5)(t-5)-(t+7)(t+4)(c+5)(c-5)+(4c-10)(2c-1)
(y+7)(y-7)95×85
(5t+3)(5t-3)(-4a+b)(-4a-b)
(x+8y)(x-8y)(2+4b)(2-4b)
(-6x+y)(-6x-y)(2x+y)(-2x+y)
(c+8)(c-8)+(c+3)(c+1)(7y+3)(7y-3)+(2y+7)(3y-2)
(b+1)(b-1)35×25
(5t+4)(5t-4)(-a+9)(-a-9)
(x+7y)(x-7y)(9a+b)(9a-b)
(-x+9y)(-x-9y)(6+3y)(-6+3y)
(x+8)(x-8)-(x+2)(x-9)(s+7)(s-7)-(2s-3)(2s-10)
(c+9)(c-9)502×498
(6c+1)(6c-1)(7a+9b)(7a-9b)
(6x+y)(6x-y)(7a+b)(7a-b)
(8x+7y)(8x-7y)(10+3y)(-10+3y)
(x+9)(x-9)-(x+4)(x+5)(2y+1)(2y-1)-(4y-9)(3y-1)
(c+1)(c-1)35×25
(x+7)(x-7)(-7a+5)(-7a-5)
(x+y)(x-y)(8+9b)(8-9b)
(-x+5y)(-x-5y)(5+7y)(-5+7y)
(b+6)(b-6)+(b+3)(b-5)(x+9)(x-9)-(3x-9)(4x-8)
(b+3)(b-3)601×599
(b+3)(b-3)(7a+6b)(7a-6b)
(x+2y)(x-2y)(9+5b)(9-5b)
(-7x+8y)(-7x-8y)(5+8y)(-5+8y)
(t+9)(t-9)+(t+1)(t-5)(a+4)(a-4)-(3a+2)(4a-7)
(s+3)(s-3)54×46
(4c+9)(4c-9)(-9a+6)(-9a-6)
(3x+y)(3x-y)(3+b)(3-b)
(-7x+y)(-7x-y)(6+4y)(-6+4y)
(y+7)(y-7)+(y-2)(y+5)(b+8)(b-8)-(4b-3)(2b-4)
(y+9)(y-9)55×45
(2x+9)(2x-9)(4a+8)(4a-8)
(x+2y)(x-2y)(4+b)(4-b)
(-9x+y)(-9x-y)(x+6y)(-x+6y)
(x+3)(x-3)+(x-9)(x-1)(8x+8)(8x-8)+(4x+9)(4x+10)
(a+10)(a-10)65×55
(c+2)(c-2)(5a+4)(5a-4)
(x+y)(x-y)(a+5b)(a-5b)
(-7x+y)(-7x-y)(x+2y)(-x+2y)
(x+7)(x-7)-(x+8)(x+2)(2y+8)(2y-8)-(4y+8)(2y-10)
(x+1)(x-1)51×49
(9b+7)(9b-7)(-5a+8b)(-5a-8b)
(x+4y)(x-4y)(5a+5b)(5a-5b)
(x+y)(x-y)(x+y)(-x+y)
(s+7)(s-7)-(s+9)(s-3)(7s+2)(7s-2)-(2s-2)(3s+9)
(c+4)(c-4)55×45
(3s+10)(3s-10)(a+7)(a-7)
(x+5y)(x-5y)(4a+3b)(4a-3b)
(-x+y)(-x-y)(3+y)(-3+y)
(y+8)(y-8)+(y-5)(y-1)(s+9)(s-9)+(3s+6)(3s-7)
(c+7)(c-7)93×87
(x+3)(x-3)(4a+2)(4a-2)
(9x+y)(9x-y)(6+4b)(6-4b)
(-8x+9y)(-8x-9y)(10+y)(-10+y)
(x+9)(x-9)+(x+6)(x+9)(5x+3)(5x-3)-(4x-9)(4x+7)
(y+3)(y-3)55×45
(9t+2)(9t-2)(a+5)(a-5)
(x+y)(x-y)(7+b)(7-b)
(2x+8y)(2x-8y)(x+y)(-x+y)
(a+2)(a-2)+(a-4)(a-7)(b+6)(b-6)+(2b-5)(4b-8)
(c+6)(c-6)404×396
(c+8)(c-8)(a+b)(a-b)
(x+y)(x-y)(5a+3b)(5a-3b)
(-2x+y)(-2x-y)(9+4y)(-9+4y)
(c+5)(c-5)+(c-3)(c+5)(y+2)(y-2)-(3y-8)(2y+2)
(c+6)(c-6)305×295
(7x+7)(7x-7)(5a+8)(5a-8)
(6x+2y)(6x-2y)(9a+2b)(9a-2b)
(-9x+3y)(-9x-3y)(4+6y)(-4+6y)
(s+4)(s-4)+(s+6)(s+6)(5x+8)(5x-8)+(3x+10)(3x+4)
(b+5)(b-5)75×65
(b+3)(b-3)(2a+b)(2a-b)
(x+7y)(x-7y)(6+8b)(6-8b)
(x+y)(x-y)(x+y)(-x+y)
(b+2)(b-2)+(b+8)(b-9)(3t+2)(3t-2)+(4t-1)(3t-8)
(y+1)(y-1)33×27
(4y+9)(4y-9)(a+2)(a-2)
(x+y)(x-y)(3+3b)(3-3b)
(-x+7y)(-x-7y)(x+5y)(-x+5y)
(c+9)(c-9)+(c-2)(c-4)(s+7)(s-7)-(3s+9)(3s-2)
(b+3)(b-3)51×49
(c+1)(c-1)(-a+b)(-a-b)
(x+3y)(x-3y)(5a+b)(5a-b)
(9x+4y)(9x-4y)(6x+y)(-6x+y)
(s+2)(s-2)+(s+9)(s+1)(c+8)(c-8)+(2c-7)(2c-1)
(x+9)(x-9)34×26
(x+1)(x-1)(-2a+3)(-2a-3)
(x+y)(x-y)(a+b)(a-b)
(-x+y)(-x-y)(x+6y)(-x+6y)
(a+6)(a-6)-(a-8)(a-5)(a+8)(a-8)+(4a+4)(4a-4)
(b+5)(b-5)704×696
(a+7)(a-7)(a+5)(a-5)
(x+5y)(x-5y)(a+b)(a-b)
(-4x+8y)(-4x-8y)(2x+y)(-2x+y)
(c+10)(c-10)-(c-6)(c-9)(a+1)(a-1)+(4a-10)(2a-3)
(a+1)(a-1)203×197
(t+9)(t-9)(-a+b)(-a-b)
(8x+y)(8x-y)(4a+6b)(4a-6b)
(-x+y)(-x-y)(6+6y)(-6+6y)
(t+6)(t-6)+(t-6)(t+3)(6a+5)(6a-5)+(4a-5)(2a+8)
(b+9)(b-9)84×76
(c+2)(c-2)(a+6b)(a-6b)
(x+y)(x-y)(a+7b)(a-7b)
(6x+7y)(6x-7y)(9x+y)(-9x+y)
(a+4)(a-4)-(a-8)(a+9)(9s+6)(9s-6)+(4s-3)(3s+1)
(b+8)(b-8)81×79
(7a+6)(7a-6)(a+5)(a-5)
(x+y)(x-y)(3a+5b)(3a-5b)
(7x+8y)(7x-8y)(2+3y)(-2+3y)
(b+5)(b-5)+(b-3)(b+5)(4b+7)(4b-7)+(2b+4)(3b+2)
(t+2)(t-2)704×696
(b+2)(b-2)(a+6)(a-6)
(x+y)(x-y)(10+3b)(10-3b)
(-9x+8y)(-9x-8y)(5x+2y)(-5x+2y)
(s+8)(s-8)-(s-7)(s-3)(4x+8)(4x-8)+(4x+4)(2x-2)
(c+2)(c-2)904×896
(5a+6)(5a-6)(8a+b)(8a-b)
(x+y)(x-y)(10+4b)(10-4b)
(-x+8y)(-x-8y)(10+y)(-10+y)
(s+2)(s-2)-(s-3)(s+3)(s+8)(s-8)+(4s+9)(4s-10)
(y+8)(y-8)101×99
(9y+2)(9y-2)(-a+1)(-a-1)
(x+5y)(x-5y)(9+3b)(9-3b)
(-x+9y)(-x-9y)(10+6y)(-10+6y)
(s+10)(s-10)-(s+4)(s+4)(10b+3)(10b-3)-(3b+6)(4b+4)
(a+4)(a-4)31×29
(t+4)(t-4)(-8a+b)(-8a-b)
(x+y)(x-y)(a+b)(a-b)
(-x+6y)(-x-6y)(7x+y)(-7x+y)
(c+3)(c-3)-(c-4)(c+8)(a+4)(a-4)-(4a-6)(2a-3)
(c+10)(c-10)92×88
(x+3)(x-3)(-6a+9)(-6a-9)
(x+8y)(x-8y)(1+2b)(1-2b)
(x+4y)(x-4y)(9x+8y)(-9x+8y)
(t+6)(t-6)+(t+3)(t-1)(5b+7)(5b-7)-(2b+8)(4b+5)
(a+10)(a-10)604×596
(t+7)(t-7)(8a+2)(8a-2)
(x+9y)(x-9y)(9+6b)(9-6b)
(-9x+y)(-9x-y)(5+4y)(-5+4y)
(c+1)(c-1)+(c+8)(c-5)(c+6)(c-6)-(2c+3)(4c+5)
(s+8)(s-8)303×297
(7a+8)(7a-8)(-a+7)(-a-7)
(3x+3y)(3x-3y)(a+b)(a-b)
(-x+5y)(-x-5y)(6x+y)(-6x+y)
(c+9)(c-9)+(c+6)(c+5)(b+4)(b-4)-(4b+4)(4b-1)
(y+9)(y-9)601×599
(b+4)(b-4)(-4a+b)(-4a-b)
(x+3y)(x-3y)(a+9b)(a-9b)
(2x+y)(2x-y)(x+y)(-x+y)
(a+1)(a-1)-(a+4)(a-1)(4c+6)(4c-6)-(3c-4)(2c-9)
(c+8)(c-8)202×198
(4a+8)(4a-8)(6a+3)(6a-3)
(x+7y)(x-7y)(a+b)(a-b)
(x+3y)(x-3y)(7x+5y)(-7x+5y)
(b+8)(b-8)+(b+4)(b-2)(2s+2)(2s-2)-(4s-4)(4s+8)
(s+8)(s-8)402×398
(t+3)(t-3)(-4a+b)(-4a-b)
(x+y)(x-y)(a+b)(a-b)
(6x+2y)(6x-2y)(8+2y)(-8+2y)
(c+10)(c-10)+(c-3)(c+1)(4c+2)(4c-2)-(2c+8)(2c+9)
(c+6)(c-6)54×46
(t+7)(t-7)(-a+4b)(-a-4b)
(x+9y)(x-9y)(a+8b)(a-8b)
(5x+y)(5x-y)(x+y)(-x+y)
(b+4)(b-4)+(b+1)(b+9)(c+3)(c-3)+(4c+4)(2c+7)
(a+6)(a-6)904×896
(y+10)(y-10)(-9a+8)(-9a-8)
(x+y)(x-y)(8+9b)(8-9b)
(5x+2y)(5x-2y)(6x+y)(-6x+y)
(c+4)(c-4)-(c-4)(c-4)(c+9)(c-9)+(4c+2)(2c-10)
(b+6)(b-6)303×297
(s+2)(s-2)(-3a+4b)(-3a-4b)
(x+y)(x-y)(9+2b)(9-2b)
(x+4y)(x-4y)(2+y)(-2+y)
(s+10)(s-10)-(s+6)(s+4)(2x+6)(2x-6)+(2x+7)(4x-6)
(c+4)(c-4)802×798
(4b+7)(4b-7)(-a+2)(-a-2)
(4x+9y)(4x-9y)(9a+b)(9a-b)
(-x+6y)(-x-6y)(7x+2y)(-7x+2y)
(y+2)(y-2)-(y+8)(y-4)(4a+5)(4a-5)-(2a-1)(2a-5)
(c+9)(c-9)73×67
(c+7)(c-7)(a+3)(a-3)
(x+y)(x-y)(6+3b)(6-3b)
(3x+2y)(3x-2y)(7+y)(-7+y)
(t+10)(t-10)-(t+8)(t-9)(3y+4)(3y-4)-(2y-7)(2y+4)
(b+1)(b-1)94×86
(c+5)(c-5)(-a+4)(-a-4)
(x+y)(x-y)(5+b)(5-b)
(4x+y)(4x-y)(3+5y)(-3+5y)
(c+10)(c-10)-(c-4)(c+4)(x+1)(x-1)-(4x+10)(3x-1)
(a+10)(a-10)201×199
(5y+6)(5y-6)(-5a+9)(-5a-9)
(4x+6y)(4x-6y)(5+b)(5-b)
(-x+4y)(-x-4y)(10+y)(-10+y)
(x+9)(x-9)-(x+4)(x-3)(y+5)(y-5)-(3y-6)(2y-6)
(y+6)(y-6)64×56
(s+9)(s-9)(-9a+b)(-9a-b)
(8x+y)(8x-y)(8a+7b)(8a-7b)
(-x+8y)(-x-8y)(6x+3y)(-6x+3y)
(y+7)(y-7)+(y+4)(y-2)(5a+1)(5a-1)-(3a-8)(3a+2)
(c+1)(c-1)101×99
(2x+6)(2x-6)(-8a+b)(-8a-b)
(2x+y)(2x-y)(a+9b)(a-9b)
(x+y)(x-y)(1+6y)(-1+6y)
(t+5)(t-5)+(t+1)(t-4)(s+10)(s-10)-(2s-4)(4s+2)
(s+1)(s-1)802×798
(b+3)(b-3)(a+7)(a-7)
(7x+y)(7x-y)(7a+b)(7a-b)
(-x+5y)(-x-5y)(6+y)(-6+y)
(c+6)(c-6)+(c-9)(c+9)(5t+3)(5t-3)-(3t-3)(4t+4)
(t+6)(t-6)705×695
(2t+9)(2t-
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