(1)(﹣x﹣y)(x﹣y)+(x+y)2;(2)(2a6x3﹣9ax6)÷(3ax3);(3)(2x﹣5)(2x+5)﹣(2x+1)(2x﹣3);(4);(5

(1)(﹣x﹣y)(x﹣y)+(x+y)2;(2)(2a6x3﹣9ax6)÷(3ax3);(3)(2x﹣5)(2x+5)﹣(2x+1)(2x﹣3);(4);(5

题型:解答题难度:一般来源:辽宁省月考题

(1)(﹣x﹣y)(x﹣y)+(x+y)2
(2)(2a6x3﹣9ax6)÷(3ax3);
(3)(2x﹣5)(2x+5)﹣(2x+1)(2x﹣3);
(4)
(5)﹣23+8﹣1×(﹣1)3×(﹣﹣2+7°;
(6)(2x﹣y+1)(2x+y﹣1);
(7)
(8)(a+2)(a2+4)(a4+16)(a﹣2);
(9)(x﹣y)2(x2+y22(x+y)2
(10)(5m3n22(﹣2m23(﹣n34
(11)(π﹣3)0+(﹣0.125)2009×82009
(12)(2am﹣3bn)(3an+5bm);
(13)(x+y)(x﹣y)﹣(x﹣y)2
(14)(﹣2a2+3a)﹣(a2﹣2a+1);
(15)﹣2a(a2b+a﹣1)
(16)[x4y﹣2x2(x2﹣3xy2)]÷(﹣2x3
(17)(2m+n)(3n+1)
(18)1012
(19)199×201
(20)20082
(21)782
(22)(a+b+1)(a+b﹣1)
(23)(a﹣b)(a+b)(a2+b2
(24)(66x6y3﹣24x4y2+9x2y)÷(﹣3x2y)

答案

解:(1)(﹣x﹣y)(x﹣y)+(x+y)2
=﹣x2+y2+x2+2xy+y2
=y(y+2x)
(2)(2a6x3﹣9ax6)÷(3ax3
=
(3)(2x﹣5)(2x+5)﹣(2x+1)(2x﹣3)
=4x2﹣25﹣4x2+4x+3
=4x﹣21
(4)
=﹣a4b5
(5)﹣23+8﹣1×(﹣1)3×(﹣﹣2+7°
=﹣8+
=﹣8﹣
=﹣7
(6)(2x﹣y+1)(2x+y﹣1)
=4x2﹣4xy+y2﹣1
(7)
=8y﹣1
(8)(a+2)(a2+4)(a4+16)(a﹣2)
=a8﹣256
(9)(x﹣y)2(x2+y22(x+y)2
=x8﹣2x4y4+y8
(10)(5m3n22(﹣2m23(﹣n34
=25m6n4(﹣8m6)n12
=﹣200m12n16
(11)(π﹣3)0+(﹣0.125)2009×82009
=1+(﹣1)
=0
(12)(2am﹣3bn)(3an+5bm
=6am+n+10ambm﹣9anbn﹣15bm+n
(13)(x+y)(x﹣y)﹣(x﹣y)2
=+xy
=﹣y2+xy
(14)(﹣2a2+3a)﹣(a2﹣2a+1)
=﹣3a2+5a﹣1
(15)﹣2a(a2b+a﹣1)
=﹣2a3b﹣2a2+2a
(16)[x4y﹣2x2(x2﹣3xy2)]÷(﹣2x3
=﹣+x﹣3y2
(17)(2m+n)(3n+1)
=6mn+2m+3n2+n;
(18)1012
=(100+1)2
=10000+200+1
=10201
(19)199×201
=(200﹣1)(200+1)
=40000﹣1
=39999
(20)20082
=(2000+8)2
=4000000+32000+64
=4032064
(21)782
=(80﹣2)2
=6400﹣320+4
=6084
(22)(a+b+1)(a+b﹣1)
=(a+b)2﹣1
=a2+2ab+b2﹣1
(23)(a﹣b)(a+b)(a2+b2
=a4﹣b4
(24)(66x6y3﹣24x4y2+9x2y)÷(﹣3x2y)
=﹣22x4y2+8x2y﹣3.

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