Question

Which expression is equivalent to −(4−3)?
a. −3+2²
​b. −2²−3​​
c. −2²+3
d. −3−2²

Answer 1

The expression equivalent to −(4−3) is −2²+3. When simplified, both expressions result in −1, making option c the correct answer.

Step-by-step explanation:

The question asks which expression is equivalent to −(4−3). To solve this, first simplify inside the parentheses: 4−3 equals 1. Therefore, the expression becomes −1. Now, let's evaluate each of the provided options in the same manner:

• a. −3+2²: This simplifies to −3+4, which equals 1. This is not equivalent to −1.
• b. −2²−3: This simplifies to −4−3, which equals −7. This is not equivalent to −1.
• c. −2²+3: This simplifies to −4+3, which equals −1. This is the correct equivalent expression.
• d. −3−2²: This simplifies to −3−4, which equals −7. This is not equivalent to −1.

Therefore, the correct answer is c. −2²+3.