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Sagot :
To simplify the expression [tex]\(3a + 2b - 8a + b\)[/tex], follow these steps:
1. Group like terms:
The like terms involving [tex]\(a\)[/tex] are [tex]\(3a\)[/tex] and [tex]\(-8a\)[/tex].
The like terms involving [tex]\(b\)[/tex] are [tex]\(2b\)[/tex] and [tex]\(b\)[/tex].
2. Combine the coefficients of [tex]\(a\)[/tex]:
[tex]\[ 3a - 8a = (3 - 8)a = -5a \][/tex]
3. Combine the coefficients of [tex]\(b\)[/tex]:
[tex]\[ 2b + b = (2 + 1)b = 3b \][/tex]
4. Write the simplified expression:
[tex]\[ -5a + 3b \][/tex]
Now compare this with the given options:
- [tex]\(-11a + 2b\)[/tex]
- [tex]\(-5a + 3b\)[/tex]
- [tex]\(5a + 3b\)[/tex]
The simplified expression [tex]\(-5a + 3b\)[/tex] matches the second option.
Therefore, the correct answer is:
[tex]\[ -5a + 3b \][/tex]
1. Group like terms:
The like terms involving [tex]\(a\)[/tex] are [tex]\(3a\)[/tex] and [tex]\(-8a\)[/tex].
The like terms involving [tex]\(b\)[/tex] are [tex]\(2b\)[/tex] and [tex]\(b\)[/tex].
2. Combine the coefficients of [tex]\(a\)[/tex]:
[tex]\[ 3a - 8a = (3 - 8)a = -5a \][/tex]
3. Combine the coefficients of [tex]\(b\)[/tex]:
[tex]\[ 2b + b = (2 + 1)b = 3b \][/tex]
4. Write the simplified expression:
[tex]\[ -5a + 3b \][/tex]
Now compare this with the given options:
- [tex]\(-11a + 2b\)[/tex]
- [tex]\(-5a + 3b\)[/tex]
- [tex]\(5a + 3b\)[/tex]
The simplified expression [tex]\(-5a + 3b\)[/tex] matches the second option.
Therefore, the correct answer is:
[tex]\[ -5a + 3b \][/tex]
Answer:
hello
Step-by-step explanation:
3a +2b -8a +b
=3a-8a +2b+b
=-5a+3b (B)
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