2022 · Q12
What is (x⁶-24x⁴+144x²)/((x²+4√3x+12)(x-2√3)²) equal to?
Elementary MathematicsAlgebra
- Ax²
- Bx² - 2
- Cx² + 23
- Dx² - 23
Explanation
The numerator is x²(x⁴−24x²+144) = x²(x²−12)². The denominator is (x+2√3)²(x−2√3)² = [(x+2√3)(x−2√3)]² = (x²−12)². Cancelling (x²−12)² leaves x². The keyed option is A.