人教版八年级数学上册乘法公式综合练习题精选77.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77
(b+8)(b-8)903×897
(8c+1)(8c-1)(-8a+2b)(-8a-2b)
(3x+y)(3x-y)(a+b)(a-b)
(x+y)(x-y)(x+y)(-x+y)
(a+2)(a-2)-(a-5)(a+3)(2x+1)(2x-1)+(3x-7)(3x-5)
(c+2)(c-2)701×699
(5c+7)(5c-7)(-a+b)(-a-b)
(x+y)(x-y)(5a+8b)(5a-8b)
(-x+2y)(-x-2y)(7x+y)(-7x+y)
(x+4)(x-4)-(x-9)(x+8)(s+4)(s-4)+(3s+3)(2s-3)
(s+10)(s-10)43×37
(3c+6)(3c-6)(-3a+3b)(-3a-3b)
(6x+y)(6x-y)(7a+2b)(7a-2b)
(x+y)(x-y)(5+4y)(-5+4y)
(b+4)(b-4)-(b+5)(b+7)(9s+10)(9s-10)+(2s-10)(2s+8)
(t+5)(t-5)85×75
(5y+3)(5y-3)(-9a+2)(-9a-2)
(x+2y)(x-2y)(5a+b)(5a-b)
(-x+4y)(-x-4y)(4x+y)(-4x+y)
(y+7)(y-7)-(y-2)(y+1)(y+3)(y-3)-(4y+7)(4y-2)
(b+8)(b-8)504×496
(c+10)(c-10)(-a+9)(-a-9)
(9x+y)(9x-y)(6+3b)(6-3b)
(x+2y)(x-2y)(10+2y)(-10+2y)
(y+7)(y-7)+(y-5)(y-5)(2a+2)(2a-2)+(4a+7)(3a-1)
(c+10)(c-10)802×798
(6t+9)(6t-9)(-2a+3)(-2a-3)
(5x+y)(5x-y)(a+b)(a-b)
(3x+y)(3x-y)(x+y)(-x+y)
(a+8)(a-8)+(a+8)(a+4)(a+6)(a-6)-(2a+2)(2a-7)
(x+9)(x-9)605×595
(s+4)(s-4)(-7a+9)(-7a-9)
(4x+7y)(4x-7y)(6a+b)(6a-b)
(-x+y)(-x-y)(x+y)(-x+y)
(x+8)(x-8)-(x+1)(x+4)(7c+8)(7c-8)-(3c+4)(2c+2)
(a+7)(a-7)34×26
(s+7)(s-7)(-8a+6)(-8a-6)
(6x+y)(6x-y)(2a+b)(2a-b)
(-7x+y)(-7x-y)(x+4y)(-x+4y)
(t+9)(t-9)-(t-2)(t-4)(s+6)(s-6)-(4s-8)(3s+3)
(s+3)(s-3)93×87
(6x+8)(6x-8)(-8a+9)(-8a-9)
(x+y)(x-y)(9+b)(9-b)
(-x+5y)(-x-5y)(x+6y)(-x+6y)
(b+6)(b-6)+(b-5)(b-3)(6s+3)(6s-3)+(3s+5)(4s+10)
(a+3)(a-3)704×696
(a+6)(a-6)(-3a+4)(-3a-4)
(x+y)(x-y)(3a+7b)(3a-7b)
(4x+8y)(4x-8y)(3+4y)(-3+4y)
(t+7)(t-7)-(t+8)(t+2)(t+5)(t-5)+(3t+4)(3t-10)
(a+1)(a-1)83×77
(8y+1)(8y-1)(6a+5b)(6a-5b)
(x+y)(x-y)(7+b)(7-b)
(-x+y)(-x-y)(7+5y)(-7+5y)
(y+2)(y-2)-(y+1)(y+4)(9t+1)(9t-1)-(2t+10)(3t-10)
(t+9)(t-9)85×75
(y+6)(y-6)(-4a+6)(-4a-6)
(x+y)(x-y)(5+b)(5-b)
(2x+y)(2x-y)(9+y)(-9+y)
(y+9)(y-9)+(y-9)(y-8)(6a+10)(6a-10)+(2a-2)(3a-10)
(b+10)(b-10)95×85
(4s+9)(4s-9)(a+b)(a-b)
(9x+6y)(9x-6y)(10+3b)(10-3b)
(4x+6y)(4x-6y)(3+9y)(-3+9y)
(b+4)(b-4)-(b-8)(b+5)(9t+7)(9t-7)+(4t-6)(2t+10)
(x+6)(x-6)705×695
(3y+10)(3y-10)(a+b)(a-b)
(x+y)(x-y)(a+7b)(a-7b)
(x+y)(x-y)(4+9y)(-4+9y)
(y+5)(y-5)+(y+7)(y-2)(b+2)(b-2)-(2b+4)(4b-6)
(t+5)(t-5)85×75
(b+4)(b-4)(a+7)(a-7)
(9x+y)(9x-y)(a+5b)(a-5b)
(x+8y)(x-8y)(3+6y)(-3+6y)
(x+10)(x-10)-(x-6)(x+8)(10a+8)(10a-8)-(2a-8)(2a-4)
(a+9)(a-9)73×67
(9t+8)(9t-8)(-a+2)(-a-2)
(5x+9y)(5x-9y)(8a+b)(8a-b)
(-6x+2y)(-6x-2y)(3+2y)(-3+2y)
(y+4)(y-4)-(y-9)(y-6)(s+3)(s-3)-(4s-9)(4s-6)
(t+8)(t-8)94×86
(5a+2)(5a-2)(-a+b)(-a-b)
(x+y)(x-y)(7+b)(7-b)
(-2x+6y)(-2x-6y)(7x+y)(-7x+y)
(s+8)(s-8)-(s+9)(s-7)(t+9)(t-9)-(2t+4)(4t+4)
(x+6)(x-6)205×195
(5y+6)(5y-6)(7a+5)(7a-5)
(x+6y)(x-6y)(a+b)(a-b)
(x+y)(x-y)(8+7y)(-8+7y)
(c+8)(c-8)+(c+3)(c-6)(s+10)(s-10)+(2s-5)(3s-2)
(y+10)(y-10)905×895
(a+9)(a-9)(-3a+b)(-3a-b)
(x+3y)(x-3y)(a+8b)(a-8b)
(x+5y)(x-5y)(5+4y)(-5+4y)
(x+8)(x-8)-(x+1)(x-3)(8c+1)(8c-1)-(3c+8)(2c-6)
(s+7)(s-7)32×28
(9t+4)(9t-4)(a+1)(a-1)
(7x+y)(7x-y)(8+5b)(8-5b)
(4x+2y)(4x-2y)(3x+y)(-3x+y)
(t+1)(t-1)-(t-6)(t+1)(6t+5)(6t-5)+(2t-3)(3t-3)
(b+6)(b-6)93×87
(b+1)(b-1)(a+7)(a-7)
(x+2y)(x-2y)(a+9b)(a-9b)
(4x+y)(4x-y)(7+y)(-7+y)
(s+9)(s-9)-(s+2)(s+5)(s+10)(s-10)+(2s+6)(4s+10)
(a+2)(a-2)41×39
(8y+4)(8y-4)(a+9)(a-9)
(x+y)(x-y)(9a+b)(9a-b)
(7x+y)(7x-y)(8x+y)(-8x+y)
(c+5)(c-5)-(c-8)(c+6)(c+2)(c-2)+(2c+4)(4c-10)
(t+2)(t-2)302×298
(8b+1)(8b-1)(6a+b)(6a-b)
(2x+6y)(2x-6y)(3+2b)(3-2b)
(4x+2y)(4x-2y)(8+7y)(-8+7y)
(t+4)(t-4)+(t+6)(t+4)(5b+4)(5b-4)-(2b+6)(4b-8)
(s+5)(s-5)91×89
(5t+4)(5t-4)(-a+b)(-a-b)
(x+y)(x-y)(a+3b)(a-3b)
(x+7y)(x-7y)(9x+8y)(-9x+8y)
(x+9)(x-9)-(x+9)(x-1)(b+10)(b-10)-(4b+1)(4b+8)
(t+1)(t-1)401×399
(c+6)(c-6)(a+7)(a-7)
(2x+2y)(2x-2y)(10+5b)(10-5b)
(-x+y)(-x-y)(x+5y)(-x+5y)
(c+1)(c-1)+(c+7)(c+9)(7x+7)(7x-7)+(3x+7)(2x-4)
(s+7)(s-7)801×799
(s+5)(s-5)(-a+5)(-a-5)
(2x+6y)(2x-6y)(9+b)(9-b)
(-5x+2y)(-5x-2y)(x+y)(-x+y)
(b+5)(b-5)-(b+1)(b-6)(2t+3)(2t-3)+(4t+6)(4t-2)
(a+9)(a-9)105×95
(t+3)(t-3)(-3a+5)(-3a-5)
(x+3y)(x-3y)(a+b)(a-b)
(8x+4y)(8x-4y)(2+y)(-2+y)
(t+5)(t-5)-(t-2)(t-6)(2y+1)(2y-1)+(4y-9)(4y-5)
(t+3)(t-3)503×497
(7a+1)(7a-1)(-a+9b)(-a-9b)
(x+9y)(x-9y)(4+b)(4-b)
(-3x+5y)(-3x-5y)(10+8y)(-10+8y)
(y+3)(y-3)-(y-5)(y+4)(a+4)(a-4)-(4a+3)(2a+8)
(y+9)(y-9)403×397
(6a+8)(6a-8)(4a+7)(4a-7)
(9x+6y)(9x-6y)(5+7b)(5-7b)
(-6x+y)(-6x-y)(7+4y)(-7+4y)
(c+2)(c-2)+(c-8)(c+5)(b+4)(b-4)-(2b+9)(2b-5)
(x+5)(x-5)52×48
(9b+8)(9b-8)(-7a+b)(-7a-b)
(x+y)(x-y)(9+7b)(9-7b)
(-x+2y)(-x-2y)(1+4y)(-1+4y)
(s+4)(s-4)+(s-3)(s-5)(8c+8)(8c-8)+(3c-3)(4c+3)
(a+3)(a-3)65×55
(3b+5)(3b-5)(-a+8)(-a-8)
(x+y)(x-y)(a+b)(a-b)
(4x+y)(4x-y)(x+9y)(-x+9y)
(a+10)(a-10)-(a-7)(a-5)(c+9)(c-9)+(3c+5)(3c+4)
(t+10)(t-10)85×75
(t+9)(t-9)(3a+b)(3a-b)
(x+y)(x-y)(a+b)(a-b)
(-4x+9y)(-4x-9y)(x+4y)(-x+4y)
(c+2)(c-2)-(c+2)(c+5)(b+5)(b-5)+(3b-6)(2b+9)
(a+2)(a-2)105×95
(6y+6)(6y-6)(a+6b)(a-6b)
(6x+3y)(6x-3y)(3+b)(3-b)
(9x+y)(9x-y)(4x+y)(-4x+y)
(s+6)(s-6)+(s-8)(s-4)(b+3)(b-3)+(4b-8)(3b+8)
(s+3)(s-3)35×25
(t+7)(t-7)(-8a+9)(-8a-9)
(4x+3y)(4x-3y)(8a+7b)(8a-7b)
(-x+y)(-x-y)(x+3y)(-x+3y)
(c+10)(c-10)-(c+7)(c-4)(s+6)(s-6)+(3s-4)(2s+7)
(c+9)(c-9)102×98
(6s+4)(6s-4)(a+1)(a-1)
(x+y)(x-y)(a+b)(a-b)
(7x+2y)(7x-2y)(x+4y)(-x+4y)
(t+10)(t-10)+(t+9)(t+2)(5c+2)(5c-2)+(2c-6)(3c+1)
(x+9)(x-9)82×78
(s+3)(s-3)(-a+1)(-a-1)
(x+y)(x-y)(2+7b)(2-7b)
(3x+8y)(3x-8y)(x+5y)(-x+5y)
(t+8)(t-8)-(t-7)(t+2)(c+4)(c-4)+(4c-5)(4c-5)
(y+2)(y-2)403×397
(t+2)(t-2)(-a+2b)(-a-2b)
(x+y)(x-y)(8+b)(8-b)
(x+9y)(x-9y)(x+6y)(-x+6y)
(s+10)(s-10)+(s-8)(s-4)(3x+4)(3x-4)-(3x-4)(3x+4)
(a+4)(a-4)34×26
(4s+5)(4s-5)(5a+9)(5a-9)
(x+6y)(x-6y)(a+b)(a-b)
(x+6y)(x-6y)(1+y)(-1+y)
(a+1)(a-1)+(a-7)(a-6)(8x+4)(8x-4)+(4x-7)(3x-5)
(b+6)(b-6)305×295
(y+9)(y-9)(a+9b)(a-9b)
(x+y)(x-y)(10+3b)(10-3b)
(-x+6y)(-x-6y)(3+9y)(-3+9y)
(a+9)(a-9)-(a+5)(a-3)(6c+8)(6c-8)-(3c+5)(4c+3)
(a+1)(a-1)62×58
(y+10)(y-10)(a+4)(a-4)
(x+y)(x-y)(a+b)(a-b)
(-x+2y)(-x-2y)(4x+7y)(-4x+7y)
(x+3)(x-3)-(x-8)(x+7)(3c+9)(3c-9)-(2c+7)(4c-5)
(c+8)(c-8)604×596
(2c+3)(2c-3)(-a+4b)(-a-4b)
(x+y)(x-y)(a+b)(a-b)
(-7x+3y)(-7x-3y)(8+y)(-8+y)
(c+4)(c-4)+(c+3)(c+2)(t+2)(t-2)-(4t-1)(4t+7)
(s+9)(s-9)705×695
(7c+6)(7c-6)(a+b)(a-b)
(7x+y)(7x-y)(a+b)(a-b)
(5x+9y)(5x-9y)(5+y)(-5+y)
(a+4)(a-4)-(a+3)(a+8)(b+1)(b-1)-(2b-3)(3b+7)
(s+10)(s-10)41×39
(x+4)(x-4)(a+b)(a-b)
(7x+y)(7x-y)(3+b)(3-b)
(3x+4y)(3x-4y)(8+y)(-8+y)
(s+8)(s-8)-(s-4)(s+2)(x+1)(x-1)-(2x+5)(4x+7)
(t+9)(t-9)503×497
(s+7)(s-7)(-3a+b)(-3a-b)
(9x+5y)(9x-5y)(a+5b)(a-5b)
(x+4y)(x-4y)(8x+2y)(-8x+2y)
(y+9)(y-9)-(y-4)(y+3)(6y+5)(6y-5)+(2y+4)(3y+4)
(a+8)(a-8)84×76
(a+3)(a-3)(-a+6b)(-a-6b)
(x+8y)(x-8y)(3+5b)(3-5b)
(x+4y)(x-4y)(x+5y)(-x+5y)
(x+8)(x-8)+(x+2)(x-7)(c+3)(c-3)-(3c+10)(2c-1)
(a+5)(a-5)604×596
(9x+5)(9x-5)(-5a+7)(-5a-7)
(3x+5y)(3x-5y)(4+9b)(4-9b)
(-x+y)(-x-y)(7+y)(-7+y)
(c+10)(c-10)-(c+9)(c+4)(10x+5)(10x-5)-(4x+5)(3x+2)
(b+1)(b-1)302×298
(t+5)(t-5)(a+b)(a-b)
(x+5y)(x-5y)(3a+b)(3a-b)
(x+y)(x-y)(6+3y)(-6+3y)
(t+1)(t-1)-(t-9)(t-9)(c+6)(c-6)-(2c+9)(4c-6)
(a+8)(a-8)402×398
(3b+6)(3b-6)(-4a+b)(-4a-b)
(2x+6y)(2x-6y)(1+b)(1-b)
(-5x+y)(-5x-y)(2x+y)(-2x+y)
(s+6)(s-6)-(s+7)(s+4)(x+1)(x-1)-(2x+9)(2x-4)
(s+3)(s-3)34×26
(c+4)(c-4)(-4a+4)(-4a-4)
(8x+6y)(8x-6y)(6+b)(6-b)
(7x+3y)(7x-3y)(2+y)(-2+y)
(c+8)(c-8)+(c+6)(c-2)(a+1)(a-1)+(4a+6)(3a-4)
(y+9)(y-9)44×36
(x+1)(x-1)(a+9)(a-9)
(4x+y)(4x-y)(8a+b)(8a-b)
(-x+4y)(-x-4y)(3+8y)(-3+8y)
(a+6)(a-6)+(a-3)(a-9)(c+8)(c-8)+(3c-4)(4c+7)
(x+6)(x-6)701×699
(8s+6)(8s-6)(5a+3)(5a-3)
(5x+2y)(5x-2y)(5+b)(5-b)
(x+4y)(x-4y)(6x+y)(-6x+y)
(x+5)(x-5)+(x-2)(x+9)(2x+6)(2x-6)+(3x+6)(4x+8)
(x+2)(x-2)304×296
(t+7)(t-7)(a+4)(a-4)
(7x+y)(7x-y)(a+b)(a-b)
(4x+y)(4x-y)(3x+y)(-3x+y)
(t+10)(t-10)+(t+5)(t+1)(7s+7)(7s-7)-(4s+3)(2s-5)
(a+6)(a-6)102×98
(4y+3)(4y-3)(a+3)(a-3)
(5x+y)(5x-y)(1+b)(1-b)
(-9x+y)(-9x-y)(1+y)(-1+y)
(y+8)(y-8)-(y-5)(y-7)(4x+2)(4x-2)-(4x-6)(4x+5)
(t+1)(t-1)35×25
(s+7)(s-7)(a+b)(a-b)
(x+8y)(x-8y)(4+b)(4-b)
(x+8y)(x-8y)(x+y)(-x+y)
(t+6)(t-6)-(t+8)(t-9)(2b+9)(2b-9)-(2b-6)(2b-10)
(s+6)(s-6)81×79
(b+7)(b-7)(-5a+2)(-5a-2)
(x+y)(x-y)(4+4b)(4-4b)
(-7x+y)(-7x-y)(6+7y)(-6+7y)
(s+10)(s-10)-(s+3)(s-8)(3a+1)(3a-1)-(3a+10)(4a+9)
(s+10)(s-10)903×897
(2t+1)(2t-1)(-a+5)(-a-5)
(x+y)(x-y)(5+b)(5-b)
(-x+y)(-x-y)(x+8y)(-x+8y)
(a+8)(a-8)+(a+6)(a-5)(4c+3)(4c-3)-(4c+2)(3c+10)
(x+7)(x-7)403×397
(s+1)(s-1)(3a+3)(3a-3)
(x+y)(x-y)(1+4b)(1-4b)
(-x+y)(-x-y)(2+4y)(-2+4y)
(c+3)(c-3)-(c-2)(c+5)(s+6)(s-6)+(4s+3)(3s+4)
(b+2)(b-2)82×78
(t+5)(t-5)(4a+8b)