几道因式分解的题目(a-b)3+(a+b)3-8a3(x+y+z)3+93x-2y-3z)3-(4x-y-2z)3a4+
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几道因式分解的题目
(a-b)3+(a+b)3-8a3
(x+y+z)3+93x-2y-3z)3-(4x-y-2z)3
a4+b4+c4-2a2b2-2b2c2-2c2a2
(a-b)3+(a+b)3-8a3
(x+y+z)3+93x-2y-3z)3-(4x-y-2z)3
a4+b4+c4-2a2b2-2b2c2-2c2a2
(a-b)3+(a+b)3-8a3
=2a^3+6ab^2-8a^3
=6ab^2-6a^3
=6a(b^2-a^2)
=6a(b+a)(b-a)
(x+y+z)3+(3x-2y-3z)3-(4x-y-2z)3
=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2]-(4x-y-2z)3
=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2-(4x-y-2z)^2]
=(4x-y-2z)[(x+y+z)((x+y+z)-(3x-2y-3z))+((3x-2y-3z)-(4x-y-2z))((3x-2y-3z)+(4x-y-2z))]
=(4x-y-2z)[(x+y+z)(-2x+3y+4z)+(-x-y-z)(7x-3y-5z)]
=(4x-y-2z)(x+y+z)[(-2x+3y+4z)-(7x-3y-5z)]
=(4x-y-2z)(x+y+z)(-9x+6y+9z)
=3(4x-y-2z)(x+y+z)(-3x+2y+3z)
a4+b4+c4-2a2b2-2b2c2-2c2a2
=(a^2-b^2-c^2)^2-4b^2c^2
=(a^2-b^2-c^2+2bc)(a^2-b^2-c^2-2bc)
=(a^2-(b-c)^2)(a^2-(b+c)^2)
=(a+b-c)(a-b+c)(a+b+c)(a-b-c)
=2a^3+6ab^2-8a^3
=6ab^2-6a^3
=6a(b^2-a^2)
=6a(b+a)(b-a)
(x+y+z)3+(3x-2y-3z)3-(4x-y-2z)3
=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2]-(4x-y-2z)3
=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2-(4x-y-2z)^2]
=(4x-y-2z)[(x+y+z)((x+y+z)-(3x-2y-3z))+((3x-2y-3z)-(4x-y-2z))((3x-2y-3z)+(4x-y-2z))]
=(4x-y-2z)[(x+y+z)(-2x+3y+4z)+(-x-y-z)(7x-3y-5z)]
=(4x-y-2z)(x+y+z)[(-2x+3y+4z)-(7x-3y-5z)]
=(4x-y-2z)(x+y+z)(-9x+6y+9z)
=3(4x-y-2z)(x+y+z)(-3x+2y+3z)
a4+b4+c4-2a2b2-2b2c2-2c2a2
=(a^2-b^2-c^2)^2-4b^2c^2
=(a^2-b^2-c^2+2bc)(a^2-b^2-c^2-2bc)
=(a^2-(b-c)^2)(a^2-(b+c)^2)
=(a+b-c)(a-b+c)(a+b+c)(a-b-c)
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