Final answer:
To subtract the expression 2(10b+4)−(b−2), use the distributive property to expand and combine like terms, resulting in the simplified expression 19b + 10.
Step-by-step explanation:
The student has asked to perform subtraction on the algebraic expression 2(10b+4)−(b−2). To solve this, we need to apply the distributive property and combine like terms. Here is the step-by-step solution:
- Multiply the terms inside the parentheses by the numbers outside: 2 × 10b = 20b and 2 × 4 = 8.
- Apply the subtraction for the second part of the expression: −(b−2), which is equivalent to −b + 2.
- Combine the like terms: 20b − b equals 19b and 8 + 2 equals 10.
- The final simplified expression is 19b + 10.