2017 · Q41
What is the LCM of x³+8,x²+5x+6 and x³+4x²+4x ?
Elementary MathematicsHCF and LCM
- Ax(x+2)²(x+3)(x²-2x+4)
- Bx(x-2)²(x-3)(x²+2x+4)
- C(x+2)²(x+3)(x²-2x+4)
- D(x-2)²(x-3)(x²-2x+4)
Explanation
x³ + 8 = (x+2)(x²−2x+4); x² + 5x + 6 = (x+2)(x+3); x³ + 4x² + 4x = x(x+2)². Taking the highest power of each factor: x(x+2)²(x+3)(x²−2x+4): option A.