Question 7
Algebraic ExpressionsGiven that x + y = 1 and x + 3y = 5, find the value of (x2 + 4xy + 3y2).
- A.1
- B.5
- C.10
- D.25
Show the answer and explanation
Answer: B (5)
Explanation
x² + 4xy + 3y² = (x + y)(x + 3y) = 1 × 5 = 5.
Given that x + y = 1 and x + 3y = 5, find the value of (x2 + 4xy + 3y2).
Answer: B (5)
x² + 4xy + 3y² = (x + y)(x + 3y) = 1 × 5 = 5.