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Let’s check out your problem:
Simplify. Write your answer using whole numbers and variables.
\newline
r
2
−
7
r
r
\frac{r^2 - 7r}{r}
r
r
2
−
7
r
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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
r
2
−
7
r
r
\frac{r^2 - 7r}{r}
r
r
2
−
7
r
Divide
r
2
r^2
r
2
by
r
r
r
:
Simplify the expression
r
2
−
7
r
r
\frac{r^2 - 7r}{r}
r
r
2
−
7
r
by dividing each term in the numerator by the denominator.
\newline
We have the expression
r
2
r
−
7
r
r
.
\frac{r^2}{r} - \frac{7r}{r}.
r
r
2
−
r
7
r
.
Divide
−
7
r
-7r
−
7
r
by
r
r
r
:
Divide
r
2
r^2
r
2
by
r
r
r
to get
r
r
r
.
\newline
r
2
r
=
r
2
−
1
=
r
1
=
r
\frac{r^2}{r} = r^{2-1} = r^1 = r
r
r
2
=
r
2
−
1
=
r
1
=
r
.
Combine results:
Divide
−
7
r
-7r
−
7
r
by
r
r
r
to get
−
7
-7
−
7
.
−
7
r
/
r
=
−
7
×
r
/
r
=
−
7
×
1
=
−
7
-7r/r = -7 \times r/r = -7 \times 1 = -7
−
7
r
/
r
=
−
7
×
r
/
r
=
−
7
×
1
=
−
7
.
Final simplified expression:
Combine the results from Step
2
2
2
and Step
3
3
3
.
\newline
The simplified expression is
r
−
7
r - 7
r
−
7
.
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