Question 17
Algebraic ExpressionsIf a = u2 − 3v2 and b = 2uv + v2, evaluate (2a − b)(a − b2), when u = 1 and v = −1
- A.9
- B.15
- C.27
- D.33
Show the answer and explanation
Answer: A (9)
Explanation
a = 1 − 3 = −2 and b = −2 + 1 = −1. Then 2a − b = −3 and a − b² = −2 − 1 = −3, so the product is 9.