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Answer :
Sure! Let's simplify the expression step by step:
The expression to simplify is:
[tex]\[
-1(8c + 9d) + 2(11c - 6d)
\][/tex]
1. Distribute the -1:
- Multiply [tex]\(-1\)[/tex] with each term inside the first parentheses.
- [tex]\(-1 \times 8c = -8c\)[/tex]
- [tex]\(-1 \times 9d = -9d\)[/tex]
So, [tex]\(-1(8c + 9d)\)[/tex] becomes [tex]\(-8c - 9d\)[/tex].
2. Distribute the 2:
- Multiply [tex]\(2\)[/tex] with each term inside the second parentheses.
- [tex]\(2 \times 11c = 22c\)[/tex]
- [tex]\(2 \times (-6d) = -12d\)[/tex]
So, [tex]\(2(11c - 6d)\)[/tex] becomes [tex]\(22c - 12d\)[/tex].
3. Combine like terms:
- Add the [tex]\(c\)[/tex] terms together:
[tex]\(-8c + 22c = 14c\)[/tex]
- Add the [tex]\(d\)[/tex] terms together:
[tex]\(-9d - 12d = -21d\)[/tex]
Putting it all together, the simplified expression is:
[tex]\[
14c - 21d
\][/tex]
So, the final answer is [tex]\(14c - 21d\)[/tex].
The expression to simplify is:
[tex]\[
-1(8c + 9d) + 2(11c - 6d)
\][/tex]
1. Distribute the -1:
- Multiply [tex]\(-1\)[/tex] with each term inside the first parentheses.
- [tex]\(-1 \times 8c = -8c\)[/tex]
- [tex]\(-1 \times 9d = -9d\)[/tex]
So, [tex]\(-1(8c + 9d)\)[/tex] becomes [tex]\(-8c - 9d\)[/tex].
2. Distribute the 2:
- Multiply [tex]\(2\)[/tex] with each term inside the second parentheses.
- [tex]\(2 \times 11c = 22c\)[/tex]
- [tex]\(2 \times (-6d) = -12d\)[/tex]
So, [tex]\(2(11c - 6d)\)[/tex] becomes [tex]\(22c - 12d\)[/tex].
3. Combine like terms:
- Add the [tex]\(c\)[/tex] terms together:
[tex]\(-8c + 22c = 14c\)[/tex]
- Add the [tex]\(d\)[/tex] terms together:
[tex]\(-9d - 12d = -21d\)[/tex]
Putting it all together, the simplified expression is:
[tex]\[
14c - 21d
\][/tex]
So, the final answer is [tex]\(14c - 21d\)[/tex].
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Rewritten by : Barada
