人教版八年级数学上册乘法公式综合练习题精选15.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15
(t+6)(t-6)63×57
(5x+9)(5x-9)(a+4b)(a-4b)
(6x+y)(6x-y)(2a+b)(2a-b)
(-x+y)(-x-y)(x+y)(-x+y)
(y+3)(y-3)-(y-9)(y+3)(y+2)(y-2)-(3y+8)(4y-4)
(x+2)(x-2)301×299
(8a+1)(8a-1)(-3a+9b)(-3a-9b)
(x+5y)(x-5y)(a+b)(a-b)
(-x+6y)(-x-6y)(9x+y)(-9x+y)
(b+10)(b-10)-(b+2)(b-8)(5y+4)(5y-4)+(2y+10)(3y+7)
(x+10)(x-10)55×45
(8s+5)(8s-5)(a+b)(a-b)
(x+y)(x-y)(2a+b)(2a-b)
(x+6y)(x-6y)(x+y)(-x+y)
(b+8)(b-8)+(b+4)(b-3)(t+1)(t-1)-(4t+3)(2t-5)
(s+3)(s-3)94×86
(7s+7)(7s-7)(a+7)(a-7)
(9x+y)(9x-y)(2+b)(2-b)
(x+y)(x-y)(3x+y)(-3x+y)
(x+4)(x-4)-(x-4)(x+3)(y+5)(y-5)-(3y-3)(4y+2)
(b+9)(b-9)601×599
(3a+1)(3a-1)(4a+b)(4a-b)
(5x+y)(5x-y)(1+7b)(1-7b)
(-x+y)(-x-y)(8x+y)(-8x+y)
(t+6)(t-6)+(t-5)(t+5)(s+3)(s-3)-(3s-7)(2s+4)
(c+5)(c-5)53×47
(y+1)(y-1)(a+6)(a-6)
(8x+y)(8x-y)(1+9b)(1-9b)
(2x+2y)(2x-2y)(x+5y)(-x+5y)
(x+5)(x-5)-(x+5)(x+9)(5x+9)(5x-9)+(4x+10)(2x+6)
(a+3)(a-3)34×26
(x+8)(x-8)(a+2)(a-2)
(9x+3y)(9x-3y)(9+7b)(9-7b)
(-7x+7y)(-7x-7y)(x+8y)(-x+8y)
(x+9)(x-9)-(x-8)(x-1)(a+1)(a-1)-(3a+10)(4a-5)
(y+8)(y-8)65×55
(a+9)(a-9)(a+1)(a-1)
(x+2y)(x-2y)(7+5b)(7-5b)
(-9x+y)(-9x-y)(8x+y)(-8x+y)
(a+1)(a-1)+(a-7)(a-6)(b+3)(b-3)-(4b+1)(3b+8)
(c+3)(c-3)204×196
(y+6)(y-6)(a+8b)(a-8b)
(7x+4y)(7x-4y)(a+7b)(a-7b)
(-3x+9y)(-3x-9y)(7+5y)(-7+5y)
(s+4)(s-4)-(s-5)(s+8)(y+8)(y-8)+(4y+2)(2y-7)
(y+8)(y-8)35×25
(x+9)(x-9)(a+6)(a-6)
(2x+y)(2x-y)(9a+b)(9a-b)
(x+7y)(x-7y)(9+y)(-9+y)
(c+2)(c-2)+(c-7)(c+3)(8s+1)(8s-1)-(2s+7)(3s-8)
(s+4)(s-4)64×56
(b+9)(b-9)(-a+5b)(-a-5b)
(x+4y)(x-4y)(8+7b)(8-7b)
(7x+y)(7x-y)(x+9y)(-x+9y)
(b+4)(b-4)-(b+6)(b+1)(9a+4)(9a-4)+(3a-3)(2a+7)
(s+6)(s-6)704×696
(7t+2)(7t-2)(-a+7)(-a-7)
(8x+4y)(8x-4y)(5+b)(5-b)
(-9x+2y)(-9x-2y)(x+y)(-x+y)
(x+5)(x-5)+(x+2)(x+9)(10t+7)(10t-7)+(2t+6)(2t+2)
(s+3)(s-3)54×46
(5x+10)(5x-10)(8a+6b)(8a-6b)
(x+y)(x-y)(4+5b)(4-5b)
(-x+y)(-x-y)(x+4y)(-x+4y)
(b+2)(b-2)-(b-8)(b+8)(8s+1)(8s-1)-(4s-9)(3s+2)
(x+4)(x-4)405×395
(s+4)(s-4)(-7a+5)(-7a-5)
(x+9y)(x-9y)(a+b)(a-b)
(x+y)(x-y)(6x+y)(-6x+y)
(s+9)(s-9)-(s-8)(s+3)(y+8)(y-8)-(3y-9)(3y+7)
(t+6)(t-6)64×56
(x+9)(x-9)(a+2)(a-2)
(2x+6y)(2x-6y)(4+5b)(4-5b)
(9x+y)(9x-y)(8+y)(-8+y)
(y+10)(y-10)-(y+4)(y+1)(7c+4)(7c-4)-(3c+10)(2c+3)
(c+9)(c-9)403×397
(b+6)(b-6)(a+7b)(a-7b)
(7x+9y)(7x-9y)(3a+7b)(3a-7b)
(9x+y)(9x-y)(x+y)(-x+y)
(y+4)(y-4)+(y+9)(y+9)(6s+10)(6s-10)+(2s+4)(3s-3)
(a+5)(a-5)81×79
(7c+8)(7c-8)(-7a+1)(-7a-1)
(x+6y)(x-6y)(6a+b)(6a-b)
(-x+y)(-x-y)(7+y)(-7+y)
(s+5)(s-5)-(s+5)(s-4)(x+7)(x-7)+(2x+2)(3x+4)
(b+3)(b-3)904×896
(7y+9)(7y-9)(-9a+2)(-9a-2)
(x+y)(x-y)(10+b)(10-b)
(-8x+5y)(-8x-5y)(3+y)(-3+y)
(y+2)(y-2)+(y-5)(y+6)(s+3)(s-3)-(3s-4)(2s-3)
(t+2)(t-2)55×45
(6a+1)(6a-1)(7a+b)(7a-b)
(x+3y)(x-3y)(10+b)(10-b)
(-x+2y)(-x-2y)(4+4y)(-4+4y)
(t+6)(t-6)-(t-7)(t+5)(2a+6)(2a-6)+(4a+2)(2a-1)
(y+4)(y-4)43×37
(b+6)(b-6)(a+7)(a-7)
(6x+6y)(6x-6y)(7a+9b)(7a-9b)
(3x+y)(3x-y)(2x+y)(-2x+y)
(b+1)(b-1)-(b-1)(b+4)(x+5)(x-5)-(3x-4)(3x+9)
(c+4)(c-4)905×895
(b+3)(b-3)(2a+8)(2a-8)
(x+9y)(x-9y)(8+b)(8-b)
(-x+8y)(-x-8y)(9x+y)(-9x+y)
(y+6)(y-6)-(y+9)(y+1)(5x+6)(5x-6)-(4x+5)(2x+9)
(y+8)(y-8)301×299
(t+5)(t-5)(-2a+7b)(-2a-7b)
(x+y)(x-y)(4+b)(4-b)
(8x+2y)(8x-2y)(7+y)(-7+y)
(t+3)(t-3)-(t-4)(t-1)(3s+5)(3s-5)-(4s-4)(3s+5)
(c+2)(c-2)603×597
(8t+1)(8t-1)(4a+3b)(4a-3b)
(x+y)(x-y)(4a+b)(4a-b)
(x+y)(x-y)(5+y)(-5+y)
(t+4)(t-4)-(t+7)(t-2)(a+4)(a-4)-(4a+10)(4a+1)
(y+3)(y-3)704×696
(c+7)(c-7)(-4a+2)(-4a-2)
(3x+y)(3x-y)(9+b)(9-b)
(9x+y)(9x-y)(6x+y)(-6x+y)
(b+5)(b-5)+(b-2)(b-8)(8x+9)(8x-9)-(2x+2)(4x+4)
(x+6)(x-6)34×26
(9x+2)(9x-2)(5a+7)(5a-7)
(9x+y)(9x-y)(3+4b)(3-4b)
(-x+5y)(-x-5y)(6x+y)(-6x+y)
(a+5)(a-5)-(a+4)(a+1)(y+6)(y-6)-(3y-2)(3y+5)
(y+3)(y-3)35×25
(4y+5)(4y-5)(-8a+b)(-8a-b)
(5x+y)(5x-y)(9a+b)(9a-b)
(x+5y)(x-5y)(3x+7y)(-3x+7y)
(t+10)(t-10)-(t-5)(t-4)(2y+6)(2y-6)-(4y-3)(4y-8)
(c+4)(c-4)64×56
(7b+8)(7b-8)(a+7b)(a-7b)
(x+8y)(x-8y)(7+2b)(7-2b)
(-6x+y)(-6x-y)(2+4y)(-2+4y)
(b+1)(b-1)+(b+5)(b-5)(10a+10)(10a-10)-(4a+4)(2a-5)
(c+3)(c-3)905×895
(c+9)(c-9)(-2a+8b)(-2a-8b)
(x+8y)(x-8y)(4+b)(4-b)
(x+y)(x-y)(1+y)(-1+y)
(b+5)(b-5)+(b+7)(b+8)(8y+1)(8y-1)+(3y+4)(3y-10)
(c+10)(c-10)705×695
(x+1)(x-1)(a+2)(a-2)
(x+y)(x-y)(3+b)(3-b)
(-x+9y)(-x-9y)(x+y)(-x+y)
(b+4)(b-4)-(b-6)(b-8)(b+2)(b-2)-(2b-8)(2b+2)
(s+5)(s-5)101×99
(4s+2)(4s-2)(a+4b)(a-4b)
(x+2y)(x-2y)(8+2b)(8-2b)
(-3x+y)(-3x-y)(4+y)(-4+y)
(y+7)(y-7)-(y+6)(y+2)(s+3)(s-3)+(3s-6)(2s+10)
(y+1)(y-1)101×99
(8x+9)(8x-9)(8a+8)(8a-8)
(x+y)(x-y)(3+b)(3-b)
(x+y)(x-y)(7x+y)(-7x+y)
(t+10)(t-10)-(t+3)(t-9)(t+8)(t-8)-(2t+1)(3t+4)
(x+2)(x-2)94×86
(b+2)(b-2)(-7a+b)(-7a-b)
(4x+y)(4x-y)(1+b)(1-b)
(9x+y)(9x-y)(2+8y)(-2+8y)
(x+8)(x-8)+(x+2)(x+6)(a+9)(a-9)+(3a+9)(2a+8)
(c+4)(c-4)41×39
(b+2)(b-2)(7a+8)(7a-8)
(x+7y)(x-7y)(2a+7b)(2a-7b)
(4x+y)(4x-y)(2+5y)(-2+5y)
(t+1)(t-1)-(t+8)(t+4)(c+8)(c-8)-(3c+10)(3c-6)
(b+7)(b-7)62×58
(4c+4)(4c-4)(a+3b)(a-3b)
(8x+7y)(8x-7y)(8a+b)(8a-b)
(6x+y)(6x-y)(x+7y)(-x+7y)
(t+8)(t-8)+(t-9)(t+3)(x+7)(x-7)-(3x-3)(3x-2)
(x+5)(x-5)305×295
(b+4)(b-4)(-7a+7)(-7a-7)
(x+y)(x-y)(5+5b)(5-5b)
(-x+y)(-x-y)(3x+4y)(-3x+4y)
(c+4)(c-4)-(c-5)(c+7)(8t+1)(8t-1)-(4t+3)(3t-4)
(b+10)(b-10)41×39
(8x+5)(8x-5)(-a+4b)(-a-4b)
(9x+y)(9x-y)(6a+6b)(6a-6b)
(x+3y)(x-3y)(9x+7y)(-9x+7y)
(t+9)(t-9)+(t-5)(t-9)(y+1)(y-1)+(4y+7)(4y+6)
(a+10)(a-10)604×596
(5t+4)(5t-4)(a+b)(a-b)
(x+y)(x-y)(a+7b)(a-7b)
(5x+y)(5x-y)(x+y)(-x+y)
(c+2)(c-2)-(c+8)(c-5)(6c+5)(6c-5)+(2c-7)(2c-8)
(t+8)(t-8)705×695
(6c+6)(6c-6)(a+8)(a-8)
(3x+4y)(3x-4y)(6+b)(6-b)
(-x+y)(-x-y)(x+5y)(-x+5y)
(t+5)(t-5)+(t+3)(t-6)(4y+1)(4y-1)-(2y-6)(2y+6)
(b+9)(b-9)52×48
(3x+10)(3x-10)(-a+6b)(-a-6b)
(x+8y)(x-8y)(2+9b)(2-9b)
(x+y)(x-y)(10+y)(-10+y)
(y+1)(y-1)+(y-3)(y-5)(5a+9)(5a-9)-(3a+1)(4a+7)
(b+7)(b-7)72×68
(5x+6)(5x-6)(a+b)(a-b)
(7x+9y)(7x-9y)(5a+b)(5a-b)
(x+8y)(x-8y)(7+y)(-7+y)
(y+5)(y-5)+(y-6)(y-1)(s+9)(s-9)+(3s+8)(4s+4)
(a+2)(a-2)601×599
(t+2)(t-2)(4a+7)(4a-7)
(x+5y)(x-5y)(3a+3b)(3a-3b)
(-2x+5y)(-2x-5y)(5+6y)(-5+6y)
(s+5)(s-5)+(s+3)(s-4)(s+7)(s-7)+(2s+1)(4s+5)
(c+10)(c-10)503×497
(6x+7)(6x-7)(2a+4)(2a-4)
(2x+3y)(2x-3y)(7+b)(7-b)
(-x+9y)(-x-9y)(9+7y)(-9+7y)
(b+1)(b-1)-(b+4)(b-7)(y+2)(y-2)-(4y-7)(4y+5)
(y+7)(y-7)31×29
(y+7)(y-7)(-a+8)(-a-8)
(7x+4y)(7x-4y)(5+b)(5-b)
(-2x+9y)(-2x-9y)(x+3y)(-x+3y)
(c+10)(c-10)+(c-4)(c-3)(c+5)(c-5)+(4c+2)(3c-8)
(x+8)(x-8)602×598
(3a+2)(3a-2)(7a+8)(7a-8)
(x+3y)(x-3y)(10+2b)(10-2b)
(-x+y)(-x-y)(3x+3y)(-3x+3y)
(b+10)(b-10)-(b-2)(b-8)(8a+5)(8a-5)-(3a+2)(3a+8)
(t+3)(t-3)103×97
(b+8)(b-8)(-9a+b)(-9a-b)
(4x+y)(4x-y)(8a+b)(8a-b)
(x+4y)(x-4y)(4+4y)(-4+4y)
(s+5)(s-5)+(s+9)(s+1)(10s+2)(10s-2)+(3s+2)(3s+4)
(x+1)(x-1)204×196
(8y+9)(8y-9)(-3a+b)(-3a-b)
(7x+y)(7x-y)(a+7b)(a-7b)
(-x+9y)(-x-9y)(x+5y)(-x+5y)
(x+1)(x-1)+(x-2)(x-7)(y+8)(y-8)+(2y+2)(4y-9)
(y+2)(y-2)94×86
(5t+2)(5t-2)(-a+b)(-a-b)
(x+y)(x-y)(2a+5b)(2a-5b)
(x+y)(x-y)(4x+y)(-4x+y)
(s+3)(s-3)+(s+5)(s-2)(7s+1)(7s-1)-(3s-3)(2s+7)
(t+1)(t-1)33×27
(5c+1)(5c-1)(5a+7)(5a-7)
(8x+y)(8x-y)(8+4b)(8-4b)
(8x+y)(8x-y)(3x+5y)(-3x+5y)
(a+8)(a-8)-(a-4)(a-1)(a+3)(a-3)+(3a+7)(4a+1)
(a+2)(a-2)61×59
(5s+3)(5s-3)(-a+b)(-a-b)
(6x+y)(6x-y)(3+b)(3-b)
(-x+y)(-x-y)(9x+9y)(-9x+9y)
(a+5)(a-5)+(a-4)(a+5)(x+1)(x-1)-(3x+9)(3x+7)
(t+8)(t-8)903×897
(9a+2)(9a-2)(a+b)(a-b)
(9x+4y)(9x-4y)(4a+b)(4a-b)
(-x+y)(-x-y)(1+3y)(-1+3y)
(y+6)(y-6)+(y-6)(y-6)(s+5)(s-5)+(4s+5)(4s-2)
(c+6)(c-6)51×49
(a+6)(a-6)(-a+b)(-a-b)
(x+9y)(x-9y)(4+b)(4-b)
(5x+2y)(5x-2y)(2+y)(-2+y)
(a+4)(a-4)-(a-7)(a+6)(s+9)(s-9)+(4s+6)(2s-1)
(c+6)(c-6)101×99
(3a+8)(3a-8)(4a+9)(4a-9)
(8x+y)(8x-y)(4+6b)(4-6b)
(-7x+4y)(-7x-4y)(3+y)(-3+y)
(s+8)(s-8)-(s-9)(s-1)(x+3)(x-3)-(2x-9)(4x-5)
(y+3)(y-3)602×598
(3y+9)(3y-9)(a+8)(a-8)
(5x+7y)(5x-7y)(a+9b)(a-9b)
(-5x+y)(-5x-y)(9+y)(-9+y)
(s+8)(s-8)+(s-6)(s-8)(7a+10)(7a-10)+(2a+1)(3a+5)
(a+9)(a-9)504×496
(c+8)(c-8)(-a+2)(-a-2)
(7x+7y)(7x-7y)(7a+b)(7a-b)
(8x+y)(8x-y)(7x+y)(-7x+y)
(y+5)(y-5)-(y-4)(y-9)(4a+10)(4a-10)+(4a-10)(3a+1)
(x+10)(x-10)63×57
(9c+9)(9c-9)(-a+b)(-a-b)
(9x+y)(9x-y)(6a+3b)(6a-3b)
(6x+4y)(6x-4y)(7x+y)(-7x+y)
(a+5)(a-5)-(a-8)(a+9)(b+2)(b-2)+(4b+8)(4b-8)
(b+5)(b-5)31×29
(b+3)(b-3)(-7a+9b)(-7a-9b)
(x+y)(x-y)(3+8b)(3-8b)
(2x+y)(2x-y)(6+y)(-6+y)
(a+4)(a-4)+(a-6)(a+7)(5c+2)(5c-2)-(3c+10)(4c-9)
(t+1)(t-1)304×296
(3x+7)(3x-7)(-6a+b)(-6a-b)
(3x+y)(3x-y)(8a+8b)(8a-8b)
(-9x+y)(-9x-y)(8x+5y)(-8x+5y)
(b+5)(b-5)+(b+1)(b-2)(x+2)(x-2)-(3x-8)(3x+5)
(c+2)(c-2)84×76
(y+7)(y-7)