QuestionFind expressions equivalent to $(-4 d-3)-(9 d+4)$ . Options: $-13 d-7$ , $-7 d-13$ , $-4-3+-13 d$ , $(-3 d-4)-(4 d+9)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(-4 d-3)-(9 d+4)$ . We are asked to find the expressions that are equivalent to the given expression

STEP 2

First, we need to simplify the given expression. We can do this by distributing the negative sign to the terms in the second parentheses.
$(-4 d-)-(9 d+4) = -4 d - -9 d -4$

STEP 3

Now, we can combine like terms.
$- d -3 -9 d - = -13 d -7$

STEP 4

Now, we compare the simplified expression with the given options.
The first option is $-13 d -7$ , which is the same as our simplified expression.
The second option is $-7 d -13$ , which is not the same as our simplified expression.
The third option is $-4 -3 + -13 d$ , which is equivalent to our simplified expression if we rearrange the terms to $-13 d -7$ .
The fourth option is $(-3 d-4)-(4 d+9)$ , which simplifies to $-7 d -13$ , and is not equivalent to our simplified expression.
So, the expressions equivalent to $(-4 d-3)-(9 d+4)$ are $-13 d -7$ and $-4 -3 + -13 d$ .

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