Title: Common factor
Course: 2025 Probabilidad y Estadística

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Q: Find the common factor of:

x^4y^4 - 3x^3y + 6x^2y^2
- x^2y^2(x^2y^2 -3xy +6)
- x^3y^3(x^2y^2 -3xy +6)
- 3x^2y^2(x^2y^2 -xy 26)
A: x^2y^2(x^2y^2 -3xy +6)

Q: Find the common factor of:

3x^5y^5 -8x^4y^4 +x^3y63
- x^3y^3(3x^2y^2-8xy+1)
- 2x^3y^3(x^2y^2-4xy+1)
- x^2y^2(3x^3y^3-8x^2y^2+xy)
A: x^3y^3(3x^2y^2-8xy+1)

Q: Find the common factor of:

16x^2-8x^3y^4-24x^2y^2
- -8x^2y(xy^3+3y-2)
- 8x^2y(xy^3-3y+2)
- -8xy(xy^3+3y-2)
A: -8x^2y(xy^3+3y-2)

Q: Factor:

d(z-3)+5(z-3)
- (d+5)(z-3)
- (dz-3d)(5x-15)
- 5xdz-15xd-15dz+45d
A: (d+5)(z-3)

Q: Factor:

a(y-9) -b(9-y)
- (a+b)(y-9)
- (a-b)(y-9)(9-y)
- (a-b)(y-9)
A: (a+b)(y-9)

Q: Factor:

y(x-3)+z(3-x)
- (y-z)(x-3)
- (y+z)(3-x)
- (y+z)(x+3)
A: (y-z)(x-3)