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Let’s check out your problem:
Simplify the expression:
X
+
4
2
+
X
3
X+\frac{4}{2}+\frac{X}{3}
X
+
2
4
+
3
X
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Math Problems
Algebra 2
Factor sums and differences of cubes
Full solution
Q.
Simplify the expression:
X
+
4
2
+
X
3
X+\frac{4}{2}+\frac{X}{3}
X
+
2
4
+
3
X
Combine like terms:
Combine like terms and simplify the constants:
\newline
X
+
4
2
+
X
3
=
X
+
2
+
X
3
X + \frac{4}{2} + \frac{X}{3} = X + 2 + \frac{X}{3}
X
+
2
4
+
3
X
=
X
+
2
+
3
X
Find common denominator:
Find a common denominator for the terms:
\newline
Common denominator for
1
1
1
and
3
3
3
is
3
3
3
.
\newline
(
X
×
3
3
)
+
2
×
3
3
+
X
3
=
3
X
3
+
6
3
+
X
3
(X \times \frac{3}{3}) + 2 \times \frac{3}{3} + \frac{X}{3} = \frac{3X}{3} + \frac{6}{3} + \frac{X}{3}
(
X
×
3
3
)
+
2
×
3
3
+
3
X
=
3
3
X
+
3
6
+
3
X
Add fractions:
Add the
fractions
:
\newline
3
X
3
+
6
3
+
X
3
=
3
X
+
X
3
+
6
3
=
4
X
3
+
6
3
\frac{3X}{3} + \frac{6}{3} + \frac{X}{3} = \frac{3X + X}{3} + \frac{6}{3} = \frac{4X}{3} + \frac{6}{3}
3
3
X
+
3
6
+
3
X
=
3
3
X
+
X
+
3
6
=
3
4
X
+
3
6
Simplify expression:
Simplify the expression:
4
X
3
+
6
3
=
(
4
X
+
6
)
3
\frac{4X}{3} + \frac{6}{3} = \frac{(4X + 6)}{3}
3
4
X
+
3
6
=
3
(
4
X
+
6
)
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 9 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 9 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 9 months ago
Question
Factor.
\newline
g
2
−
11
g
+
18
g^2 - 11g + 18
g
2
−
11
g
+
18
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Posted 9 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 9 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 10 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 9 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 9 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 9 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 9 months ago
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