Advanced MathEasy–MediumProduct of coefficients after combining
Advanced Math practice question
If 2(x + y) + 3(x − y) = ax + by for all values of x and y, where a and b are constants, what is the value of a·b?
Answer: -5
2x + 2y + 3x − 3y = 5x − y, so a = 5, b = −1 and ab = −5.
Common wrong answers
- If you answered 4
- 4 is a + b.
- If you answered 5
- 5 forgets the sign of b.
- If you answered -15
- −15 uses b = −3, forgetting the +2y.
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