Problem 100

Question

Write each algebraic expression without parentheses. $$-(5 x-13 y-1)$$

Step-by-Step Solution

Verified
Answer
The expression without parentheses is -5x + 13y + 1.
1Step 1: Distribute the Negative Sign
Begin by distributing the negative sign to each term inside the parentheses. This means flipping the sign of each term within the parentheses. This can be visualized as multiplying each term by -1, though this is an abstract understanding, since multiplying by -1 flips the sign of a given number.
2Step 2: Execute the Distribution
Following the rule from step 1, the expression becomes -5x + 13y + 1. Notice each term is now the opposite sign of its equivalent within the parentheses.