2010 · Q5
What is the HCF of 4x3 + 3x2y-9xy2 + 2y3 and x2+xy-2y2?
Elementary MathematicsAlgebra
- Ax-2y
- Bx-y
- C(x + 2y)(x – y)
- D(x-2y)(x-y)
Explanation
x²+xy-2y²=(x+2y)(x-y); 4x³+3x²y-9xy²+2y³=(x-y)(x+2y)(4x-y). HCF=(x-y)(x+2y).
What is the HCF of 4x3 + 3x2y-9xy2 + 2y3 and x2+xy-2y2?
Explanation
x²+xy-2y²=(x+2y)(x-y); 4x³+3x²y-9xy²+2y³=(x-y)(x+2y)(4x-y). HCF=(x-y)(x+2y).