Write an equivalent expression by distributing thesign outside the parentheses:-(-4.1b 6c - 8)Answer:Submit Answer​

Mathematics · High School · Thu Feb 04 2021

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To create an equivalent expression by distributing the negative sign outside the parentheses, we will multiply each term inside the parentheses by -1. Here's how we do it step by step:

1. Identify each term inside the parentheses. In this case, the terms are -4.1b, 6c, and -8.

2. Multiply each of these terms by -1 (this is effectively distributing the negative sign outside the parentheses).

3. As we multiply, keep in mind that a negative times a negative gives a positive, and a negative times a positive gives a negative. This means we will change the sign of each term inside the parentheses.

So, the distribution of -1 across each term will look like this:

-1 * (-4.1b) = +4.1b (since negative times negative is positive) -1 * (6c) = -6c (since negative times positive is negative) -1 * (-8) = +8 (again, because negative times negative is positive)

4. Put it all together, and the equivalent expression, after distributing the negative sign, becomes:

+4.1b - 6c + 8

Since we typically don't write the plus sign in front of the first term, the final simplified expression is:

4.1b - 6c + 8