2023 · Q17
Which one of the following is a factor of 3√3x³ + 2√2y³ − 18xy + 6√6?
Elementary MathematicsAlgebra
- A√3x + √2y − √3
- B√3x + √2y − √6
- C3x² + 2y² + 6 − √6xy − √12y − √18x
- D3x² + 2y² + 6 + √6xy + √12y + √18x
Explanation
3 sqrt3 x^3+2 sqrt2 y^3-18xy+6 sqrt6 = (sqrt3 x)^3+(sqrt2 y)^3+(-sqrt6)^3-3(sqrt3 x)(sqrt2 y)(-sqrt6), which factors as (a+b+c)(...) with a+b+c=sqrt3 x+sqrt2 y-sqrt6. Option (b).