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Let’s check out your problem:
Solve using augmented matrices.
\newline
4
x
+
y
=
5
4x + y = 5
4
x
+
y
=
5
\newline
y
=
−
3
y = -3
y
=
−
3
\newline
(_____, _____)
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Math Problems
Algebra 2
Factor sums and differences of cubes
Full solution
Q.
Solve using augmented matrices.
\newline
4
x
+
y
=
5
4x + y = 5
4
x
+
y
=
5
\newline
y
=
−
3
y = -3
y
=
−
3
\newline
(_____, _____)
Write Augmented Matrix:
Write the
system of equations
as an augmented matrix.
[
4
a
m
p
;
1
a
m
p
;
5
0
a
m
p
;
1
a
m
p
;
−
3
]
\left[\begin{array}{cc|c} 4 & 1 & 5 \ 0 & 1 & -3 \end{array}\right]
[
4
am
p
;
1
am
p
;
5
0
am
p
;
1
am
p
;
−
3
]
Eliminate y-term:
Use the second row to eliminate the y-term from the first row.
\newline
First row becomes
(
4
,
1
,
5
)
−
1
×
(
0
,
1
,
−
3
)
=
(
4
,
0
,
8
)
(4, 1, 5) - 1\times(0, 1, -3) = (4, 0, 8)
(
4
,
1
,
5
)
−
1
×
(
0
,
1
,
−
3
)
=
(
4
,
0
,
8
)
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
______
Get tutor help
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
______
Get tutor help
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
)
Get tutor help
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
Get tutor help
Posted 9 months ago
Question
Factor.
\newline
2
x
8
+
7
x
2
2x^8 + 7x^2
2
x
8
+
7
x
2
\newline
______
Get tutor help
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
______
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
Posted 9 months ago
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