1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2
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![1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2](/uploads/image/z/15023856-48-6.jpg?t=1.x%5E2-4y%5E2%2Bx%2B2y2.x%5E2-6x%2B9-y%5E23.a%5E3x%5E2-c%5E3x%5E2-a%5E3y%5E2%2Bc%5E3y%5E24.x%5E5-x%5E3%2Bx%5E2-15.10a%5E2x%2B21xy%5E2-14ax%5E2-15ay%5E2)
1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2
1.x^2-4y^2+x+2y
2.x^2-6x+9-y^2
3.a^3x^2-c^3x^2-a^3y^2+c^3y^2
4.x^5-x^3+x^2-1
5.10a^2x+21xy^2-14ax^2-15ay^2
1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2
1
=(x+2y)(x-2y)+x+2y
=(x+2y)(x+2y-1)
2
=(x-3)^3-y^2
=(x+y-3)(x-y-3)
3
=(a^3-c^3)x^2-(a^3-c^3)y^2
=(a^3-c^3)(x^2-y^2)
=(a-c)(a^2+c^2+ac)(x+y)(x-y)
4
=x^3(x^2-1)+x^2-1
=(x^3-1)(x+1)(x-1)
=(x-1)(x^2+x+1)(x+1)(x-1)
=(x-1)^2(x+1)(x^2+x+1)
5
=2ax(5a-7x)+3y^2(5a-7x)
=(5a-7x)(2ax-3y^2)
1.x^2-4y^2+x+2y
=(x+2y)(x-2y)+x+2y
=(x+2y)(x-2y+1)
2.x^2-6x+9-y^2
=(x-3)^2-y^2
=(x+y-3)(x-y-3)
3.a^3x^2-c^3x^2-a^3y^2+c^3y^2
=(a^3-c^3)x^2-(a^3-c^3)y^2
=(a^3-c^...
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1.x^2-4y^2+x+2y
=(x+2y)(x-2y)+x+2y
=(x+2y)(x-2y+1)
2.x^2-6x+9-y^2
=(x-3)^2-y^2
=(x+y-3)(x-y-3)
3.a^3x^2-c^3x^2-a^3y^2+c^3y^2
=(a^3-c^3)x^2-(a^3-c^3)y^2
=(a^3-c^3)(x^2-y^2)
=(a-c)(a^2+c^2+ac)(x+y)(x-y)
4.x^5-x^3+x^2-1
=x^3(x^2-1)+x^2-1
=(x^3-1)(x+1)(x-1)
=(x-1)(x^2+x+1)(x+1)(x-1)
=(x-1)^2(x+1)(x^2+x+1)
5.10a^2x+21xy^2-14ax^2-15ay^2
=2ax(5a-7x)+3y^2(5a-7x)
=(5a-7x)(2ax-3y^2)
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