2023 · Q68
What is the LCM of x⁴ + x²y² + y⁴, x³ + y³, x³ − y³?
Elementary MathematicsAlgebra
- A(x² − y²)(x⁴ + x²y² + y⁴)²
- B(x² − y²)(x⁴ + 2x²y² + y⁴)
- C(x⁶ − y⁶)
- D(x⁶ + y⁶)
Explanation
x^4+x^2y^2+y^4=(x^2+xy+y^2)(x^2-xy+y^2); LCM with x^3+-y^3 is (x^2+xy+y^2)(x^2-xy+y^2)(x^3... )... Option (c).