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Let’s check out your problem:
p(x) = \frac{(x^
2
2
2
-
3
3
3
x -
40
40
40
)}{(x^
2
2
2
+
16
16
16
x +
64
64
64
)}
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Math Problems
Algebra 2
Factor sums and differences of cubes
Full solution
Q.
p(x) = \frac{(x^
2
2
2
-
3
3
3
x -
40
40
40
)}{(x^
2
2
2
+
16
16
16
x +
64
64
64
)}
Factorization:
Factor the numerator and denominator.
\newline
Numerator:
x
2
−
3
x
−
40
x^2 - 3x - 40
x
2
−
3
x
−
40
factors
to
(
x
−
8
)
(
x
+
5
)
(x - 8)(x + 5)
(
x
−
8
)
(
x
+
5
)
.
\newline
Denominator:
x
2
+
16
x
+
64
x^2 + 16x + 64
x
2
+
16
x
+
64
factors to
(
x
+
8
)
(
x
+
8
)
(x + 8)(x + 8)
(
x
+
8
)
(
x
+
8
)
.
Rewrite with Factored Forms:
Rewrite the expression with the factored forms.
p
(
x
)
=
(
x
−
8
)
(
x
+
5
)
(
x
+
8
)
(
x
+
8
)
p(x) = \dfrac{(x - 8)(x + 5)}{(x + 8)(x + 8)}
p
(
x
)
=
(
x
+
8
)
(
x
+
8
)
(
x
−
8
)
(
x
+
5
)
Check for Common Factors:
Check for common factors in the
numerator
\text{numerator}
numerator
and
denominator
\text{denominator}
denominator
. There are no common factors to cancel out.
Simplified Form:
The simplified form of the expression is already in its simplest form.
More problems from Factor sums and differences of cubes
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
4
x
3
−
6
x
2
4x^3 - 6x^2
4
x
3
−
6
x
2
\newline
______
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Posted 6 months ago
Question
Factor
x
4
+
8
x
2
+
16
x^4 + 8x^2 + 16
x
4
+
8
x
2
+
16
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
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Posted 6 months ago
Question
Find the binomial that completes the factorization.
\newline
t
3
+
u
3
=
(
‾
)
(
t
2
−
t
u
+
u
2
)
t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)
t
3
+
u
3
=
(
)
(
t
2
−
t
u
+
u
2
)
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Posted 6 months ago
Question
Factor.
\newline
g
2
−
11
g
+
18
g^2 - 11g + 18
g
2
−
11
g
+
18
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Posted 6 months ago
Question
Factor.
\newline
2
y
3
−
y
2
+
16
y
−
8
2y^3 - y^2 + 16y - 8
2
y
3
−
y
2
+
16
y
−
8
\newline
______
\newline
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Posted 6 months ago
Question
Factor.
\newline
2
x
8
+
7
x
2
2x^8 + 7x^2
2
x
8
+
7
x
2
\newline
______
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Posted 7 months ago
Question
Factor.
\newline
9
y
12
+
4
y
5
−
y
2
9y^{12} + 4y^5 - y^2
9
y
12
+
4
y
5
−
y
2
\newline
______
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Posted 7 months ago
Question
Factor.
\newline
6
a
4
+
3
a
3
−
a
+
2
6a^4 + 3a^3 - a + 2
6
a
4
+
3
a
3
−
a
+
2
\newline
_____
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Posted 7 months ago
Question
Factor.
\newline
4
c
7
−
2
c
5
+
c
2
−
5
4c^7 - 2c^5 + c^2 - 5
4
c
7
−
2
c
5
+
c
2
−
5
\newline
_____
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Posted 7 months ago
Question
Factor.
\newline
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
7m^9 + 2m^6 - m^3 + 4m - 10
7
m
9
+
2
m
6
−
m
3
+
4
m
−
10
\newline
_____
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Posted 7 months ago
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