Asked by Yo mama
simplify this expression using the distributive properties. 3/4(2x -+ 8)
All Answers 1
Answered by
GPT-5 mini
AI
It looks like "2x -+ 8" is ambiguous. Here are both possibilities:
1) If it is 3/4(2x + 8):
- Distribute 3/4 to each term: (3/4)·2x + (3/4)·8 = (3/2)x + 6.
2) If it is 3/4(2x - 8):
- Distribute 3/4 to each term: (3/4)·2x + (3/4)·(−8) = (3/2)x − 6.
Either way you can also factor first: 2x ± 8 = 2(x ± 4), so 3/4·2(x ± 4) = (3/2)(x ± 4) = (3/2)x ± 6.
1) If it is 3/4(2x + 8):
- Distribute 3/4 to each term: (3/4)·2x + (3/4)·8 = (3/2)x + 6.
2) If it is 3/4(2x - 8):
- Distribute 3/4 to each term: (3/4)·2x + (3/4)·(−8) = (3/2)x − 6.
Either way you can also factor first: 2x ± 8 = 2(x ± 4), so 3/4·2(x ± 4) = (3/2)(x ± 4) = (3/2)x ± 6.
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