(1).16 x3-24 x2 y2+12x y4-2 y6 2(2x-y2)3(2).a3+3a2 b+3b2 a-7b3(a-b)(a2+4ab+7b2)(3).x2-x-(y-3)(y-4)(x-y+3)(x+y-4)(4).x4+y4+(x+y)42(x2+xy+y2)2另加5-15分!
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(1).16 x3-24 x2 y2+12x y4-2 y6 2(2x-y2)3(2).a3+3a2 b+3b2 a-7b3(a-b)(a2+4ab+7b2)(3).x2-x-(y-3)(y-4)(x-y+3)(x+y-4)(4).x4+y4+(x+y)42(x2+xy+y2)2另加5-15分!
(1).16 x3-24 x2 y2+12x y4-2 y6
2(2x-y2)3
(2).a3+3a2 b+3b2 a-7b3
(a-b)(a2+4ab+7b2)
(3).x2-x-(y-3)(y-4)
(x-y+3)(x+y-4)
(4).x4+y4+(x+y)4
2(x2+xy+y2)2
另加5-15分!
(1).16 x3-24 x2 y2+12x y4-2 y6 2(2x-y2)3(2).a3+3a2 b+3b2 a-7b3(a-b)(a2+4ab+7b2)(3).x2-x-(y-3)(y-4)(x-y+3)(x+y-4)(4).x4+y4+(x+y)42(x2+xy+y2)2另加5-15分!
(1).16 x3-24 x2 y2+12x y4-2 y6
=2(8x^3-12x^y^2+6xy^4-y^6)
=2
=2(2x-y^2)(4x^2-4xy^2+y^4)
=2(2x-y2)3
(2).a3+3a2 b+3b2 a-7b3
=(a^3-a^2b)+(4a^2b-4b^3)+(3b^2a-3b^3)
=(a-b)a^2+(a-b)(4ab+4b^2)+(a-b)3b^2
=(a-b)(a^2+4ab+7b^2)
(3).x2-x-(y-3)(y-4)
=x^2-x-y^2+7y-12
= x^2-y^2-x+7y-12
=(x+y)(x-y)-(x-7y)-12(用十字相乘法)
=(x-y+3)(x+y-4)
(4).x4+y4+(x+y)4
=x^4+y^4+x^4+4x^3y+6x^2y^2+4xy^3+y^4
=2(x^4+2x^3y+3x^2y^2+2xy^3+y^4)
=2
=2
=2(x^2+xy+y^2) (x^2+xy+y^2)
=2(x^2+xy+y^2)^2
打字打得好累啊.
1.16x^3-24x^2y^2+12xy^4-2y^6
=2(8x^3-y^6)-12xy^2(2x-y^2)
=2(2x-y^2)(4x^2+2xy^2+y^4)-12xy^2(2x-y^2)
=2(2x-y^2)(4x^2-4xy^2+y^4)
=2(2x-y^2)^3
2.a^3+3a^2b+3b^2a-7b^3
=a^3+3a^2b+3b^...
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1.16x^3-24x^2y^2+12xy^4-2y^6
=2(8x^3-y^6)-12xy^2(2x-y^2)
=2(2x-y^2)(4x^2+2xy^2+y^4)-12xy^2(2x-y^2)
=2(2x-y^2)(4x^2-4xy^2+y^4)
=2(2x-y^2)^3
2.a^3+3a^2b+3b^2a-7b^3
=a^3+3a^2b+3b^2a+b^3-8b^3
=(a+b)^3-8b^3
=(a+b-2b)[(a+b)^2+2b(a+b)+4b^2]
(a-b)(a^2+4ab+7b^2)
2.x^2-x-(y-3)(y-4)
=x^2-y^2-x+7y-12
=(x+y)(x-y)-4(x-y)+3(x+y)-12
=(x+y-4)(x-y)+3(x+y-4)
=(x+y-4)(x-y+3)
4.x^4+y^4+(x+y)^4
=2x^4+4xy^3+6x^2y^2+4x^3y+2y^4
=2x(x^3-y^3)+6xy(y^2+xy+x^2)-2y(x^3-y^3)
=2(x-y)(x-y)(x^2+xy+y^2)+6xy(y^2+xy+x^2)
=2(x^2+xy+y^2)(x^2-2xy+y^2+3xy)
=2(x^2+xy+y^2)^2
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