Expand 58(−8−3f)

Question

.(1 point)
Responses

158f−5
Start Fraction 15 over 8 End Fraction f minus 5

−158f−5
negative Start Fraction 15 over 8 End Fraction f minus 5

−158f+5
negative Start Fraction 15 over 8 End Fraction f plus 5

158f+5
Start Fraction 15 over 8 End Fraction f plus 5

Answer 1

To expand \( 58(-8-3f) \), we distribute the \( 58 \) to both terms inside the parentheses:

\( 58(-8) + 58(-3f) \)

Now, we multiply each term:

\( -464 - 174f \)

There are no fractions involved in this multiplication, so the options provided that include fractions are incorrect.

The correct expansion is \( -464 - 174f \), which is not exactly represented in any of the options you've provided, as the options seem to be incorrect or might be a result of a mistake in typing the original expression. If the expression was meant to be \( \frac{5}{8}(-8-3f) \), the expansion would look different. But with the given information, the correct expansion, as calculated, is \( -464 - 174f \).