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Worksheet Worksheet 4

1.
Simplify the expression \(2 (4a^2 + 5ab - 3b^2) - (3a^2 - ab + 7b^2)\text{.}\)
2.
Simplify the expression \(3 (x^2 - 4x + 2) - 2 (x^2 - 5)\text{.}\)
3.
Two students perform the calculation \(5x^2 - x^2\text{.}\) One student claims that the answer is \(4x^2\) while the other claims the answer is 5. Determine which student did the calculation correctly and explain your reasoning using complete sentences. Then explain the error that the other student made.