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x10+x5+1
= x10+x9+x8-x9-x8-x7+x7+x6+x5-x6-x5-x4+x5+x4+x3-x3-x2-x+x2+x+1
= x8(x2+x+1)-x7(x2+x+1)+x5(x2+x+1)-x4(x2+x+1)+x3(x2+x+1)-x(x2+x+1)+(x2+x+1)
= (x2+x+1)(x8-x7+x5-x4+x3-x+1)
a, = (x + y)5 - (x5 + y5)
= (x + y)5 - (x + y)(x4 - x3y + x2y2 - xy3 + y4)
= (x + y) [(x + y)4 - x4 + x3y - x2y2 + xy3 - y4]
= (x + y) (5x3y + 5x2y2 + 5xy3)
= 5xy(x + y)(x2 + xy + y2)
b, = x(x2 - 5xy - 14y2)
= x(x2 - 7xy + 2xy - 14y2)
= x(x + 2y)(x - 7y)
bạn dặt x^2+3x+5 là y nhé:
phương trình<=> 8y^2+7y-15
đến đó tìm được y tìm tiếp x nhé!
mk ko biết , nhưng bạn có thể ko
NHA BAN va NBN
a: Sửa đề: x^3-x^2+5x-5
=x^2(x-1)+5(x-1)
=(x-1)(x^2+5)
b: x^3+4x^2+x-6
=x^3-x^2+5x^2-5x+6x-6
=(x-1)(x^2+5x+6)
=(x-1)(x+2)(x+3)
c: \(=\left(x+2\right)^3+y^3\)
\(=\left(x+2+y\right)\left(x^2+4x+4-xy-2y+y^2\right)\)
(x+y+z)3-x3-y3-z3
=(x+y)3+3(x+y)2z+3(x+y)z2+z3+x3-y3-z3
=x3+y3+3xy(x+y)+3(x+y)2z+3(x+y)z2+z3+x3-y3-z3
=3(x+y)[xy+(x+y)z+z2]
=3(x+y)(xy+xz+yz+z2)
=3(x+y)[x(y+z)+z(y+z)]
=3(x+y)(y+z)(z+x)
(x+y+z)3-x3-y3-z3
=(x+y)3+3(x+y)2z+3(x+y)z2+z3+x3-y3-z3
=x3+y3+3xy(x+y)+3(x+y)2z+3(x+y)z2+z3+x3-y3-z3
=3(x+y)[xy+(x+y)z+z2]
=3(x+y)(xy+xz+yz+z2)
=3(x+y)[x(y+z)+z(y+z)]
=3(x+y)(y+z)(z+x)
\(x^7+x^5+x^4+x^3+x^2+1\)
\(=x^7+x^6-x^6-x^5+2x^5+2x^4-x^4-x^3+2x^3+2x^2-x^2-x+x+1\)
\(=\left(x^7+x^6\right)-\left(x^6+x^5\right)+\left(2x^5+2x^4\right)-\left(x^4+x^3\right)+\left(2x^3+2x^2\right)-\left(x^2+x\right)+\left(x+1\right)\)
\(=x^6.\left(x+1\right)-x^5.\left(x+1\right)+2x^4\left(x+1\right)-x^3\left(x+1\right)+2x^2\left(x+1\right)-x\left(x+1\right)+\left(x+1\right)\)
\(=\left(x+1\right)\left(x^6-x^5+2x^4-x^3+2x^2-x+1\right)\)
(x+y)5-x5-y5
=5xy(y+x)(y2+xy+x2)