10. Which expression is equivalent to (3a + 4ab - 7b) - (a + 2b - 4b)?
Answer: C
2a + 2b - 3b
The expression equivalent to (3a + 4ab - 7b) - (a + 2b - 4b) simplifies to 2a + 2b - 3b after combining like terms.
A) 2a + 2b - 11b
This option is incorrect because while it starts with the correct term 2a, the b terms do not combine correctly. The correct simplification results in 2b - 3b, not -11b.
B) 2a + 6ab - 11b
Option B incorrectly includes the term 6ab, which is not present in the correct simplification. The original expression does not yield this outcome when like terms are combined correctly.
C) 2a + 2b - 3b
This is the correct option as it accurately represents the simplified form of the expression. By combining like terms from the original expression, we correctly arrive at 2a + (2b - 3b), which simplifies to 2a - b.
D) 2a + 6ab - 35
This choice is incorrect because the term -35 is extraneous and does not appear in the simplification of the original expression. The coefficients of a and b do not support this result.
Conclusion
The correct answer, C, accurately reflects the simplification of the original expression, addressing all like terms appropriately. The other options fail to represent the correct outcomes based on the operations performed on the initial expression.