Question 29
Algebraic ExpressionsIf a/b = c/d = k, find the value of (3a2 − ac + c2)/(3b2 − bd + d2) in terms of k.
- A.3k2
- B.2k − k2
- C.17k2/4
- D.k2
Show the answer and explanation
Answer: D (k2)
Explanation
Put a = kb and c = kd. The top becomes k²(3b² − bd + d²), so the fraction is k².