Question
Multiply.
(3а+ 1) (5a-7)
Simplify your answer.
(3а+ 1) (5a-7)
Simplify your answer.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To multiply the expression \((3a + 1)(5a - 7)\), we can use the distributive property (also known as the FOIL method for binomials).
1. **First**: Multiply the first terms:
\[
3a \cdot 5a = 15a^2
\]
2. **Outer**: Multiply the outer terms:
\[
3a \cdot (-7) = -21a
\]
3. **Inner**: Multiply the inner terms:
\[
1 \cdot 5a = 5a
\]
4. **Last**: Multiply the last terms:
\[
1 \cdot (-7) = -7
\]
Now, combine all these results:
\[
15a^2 - 21a + 5a - 7
\]
Next, combine the like terms (-21a and 5a):
\[
15a^2 - 16a - 7
\]
Thus, the simplified expression is:
\[
\boxed{15a^2 - 16a - 7}
\]
1. **First**: Multiply the first terms:
\[
3a \cdot 5a = 15a^2
\]
2. **Outer**: Multiply the outer terms:
\[
3a \cdot (-7) = -21a
\]
3. **Inner**: Multiply the inner terms:
\[
1 \cdot 5a = 5a
\]
4. **Last**: Multiply the last terms:
\[
1 \cdot (-7) = -7
\]
Now, combine all these results:
\[
15a^2 - 21a + 5a - 7
\]
Next, combine the like terms (-21a and 5a):
\[
15a^2 - 16a - 7
\]
Thus, the simplified expression is:
\[
\boxed{15a^2 - 16a - 7}
\]
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