Below are algebraic expressions that have been INCORRECTLY simplified. Explain what the misconception was and then provide the correct simplification.

Question

1. b² * b⁵ = b¹⁰


2. 4² * 4³= 14²⁺³ = 14⁵


3. (x⁶)³ = x⁶⁺³ = X⁹


4. (5X)² = 5X²


5. (a⁹/a³) = a^9/3 =a³


6. (4⁵/2³) = 2^5-3 =2²



And, drum roll please. The biggest algebraic mistake of all time…


7. (a+b)² = a²+b²

Answer 1

I won't give you the correct answers, but I'll give you the equations that should help you solve them

 

1. x^a*x^b = x^a+b

2. Same equation as above

3. (x^a)^b = x^a*b

4. (ax)^b = a^bx^b

5. x^a/x^b = x^a-b

6. Same equation as above

7. (a+b)² = a² + 2ab + b²