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Let’s check out your problem:
Simplify. Write your answer using whole numbers and variables.
\newline
3
c
2
−
7
c
c
\frac{3c^2 - 7c}{c}
c
3
c
2
−
7
c
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Math Problems
Algebra 1
Simplify radical expressions: mixed review
Full solution
Q.
Simplify. Write your answer using whole numbers and variables.
\newline
3
c
2
−
7
c
c
\frac{3c^2 - 7c}{c}
c
3
c
2
−
7
c
Divide by c:
Simplify the expression
3
c
2
−
7
c
c
3c^2 - \frac{7c}{c}
3
c
2
−
c
7
c
. First, we need to divide each term by
c
c
c
.
3
c
2
c
−
7
c
c
\frac{3c^2}{c} - \frac{7c}{c}
c
3
c
2
−
c
7
c
Subtract exponents:
Divide the terms by
c
c
c
.
\newline
When dividing terms with the same base, we subtract the exponents.
\newline
3
c
2
−
1
−
7
c
1
−
1
3c^{2-1} - 7c^{1-1}
3
c
2
−
1
−
7
c
1
−
1
Simplify exponents:
Simplify the exponents.
3
c
1
−
7
c
0
3c^1 - 7c^0
3
c
1
−
7
c
0
Remember that any number to the power of
0
0
0
is
1
1
1
.
Apply rules:
Apply the exponent rules.
3
c
−
7
(
1
)
3c - 7(1)
3
c
−
7
(
1
)
Multiply terms:
Multiply
7
7
7
by
1
1
1
.
\newline
3
c
−
7
3c - 7
3
c
−
7
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