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Let’s check out your problem:
1
5
∧
2
−
6
∧
2
15^{\wedge} 2-6^{\wedge} 2
1
5
∧
2
−
6
∧
2
=
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Math Problems
Algebra 2
Factor quadratics
Full solution
Q.
1
5
∧
2
−
6
∧
2
15^{\wedge} 2-6^{\wedge} 2
1
5
∧
2
−
6
∧
2
=
Identify expression:
Identify the expression to be simplified.
\newline
The expression given is
1
5
2
−
6
2
15^2 - 6^2
1
5
2
−
6
2
, which is a difference of squares.
Calculate square of
15
15
15
:
Calculate the square of
15
15
15
.
\newline
1
5
2
=
15
×
15
=
225
15^2 = 15 \times 15 = 225
1
5
2
=
15
×
15
=
225
.
Calculate square of
6
6
6
:
Calculate the square of
6
6
6
.
\newline
6
2
=
6
×
6
=
36
6^2 = 6 \times 6 = 36
6
2
=
6
×
6
=
36
.
Subtract squares:
Subtract the square of
6
6
6
from the square of
15
15
15
.
\newline
1
5
2
−
6
2
=
225
−
36
15^2 - 6^2 = 225 - 36
1
5
2
−
6
2
=
225
−
36
.
Perform subtraction:
Perform the subtraction to find the result.
\newline
225
−
36
=
189
225 - 36 = 189
225
−
36
=
189
.
More problems from Factor quadratics
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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Algebra - Order of Operations
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Common Multiple
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