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Let’s check out your problem:
Factor.
\newline
9
h
3
−
9
h
2
−
2
h
+
2
9h^3 - 9h^2 - 2h + 2
9
h
3
−
9
h
2
−
2
h
+
2
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Math Problems
Algebra 1
Factor by grouping
Full solution
Q.
Factor.
\newline
9
h
3
−
9
h
2
−
2
h
+
2
9h^3 - 9h^2 - 2h + 2
9
h
3
−
9
h
2
−
2
h
+
2
Identify Common Factors:
Look for common
factors
in pairs of terms. We can group the terms into two pairs:
9
h
3
−
9
h
2
9h^3 - 9h^2
9
h
3
−
9
h
2
and
−
2
h
+
2
-2h + 2
−
2
h
+
2
.
Factor First Pair:
Factor out the common factor from the first pair of terms.
\newline
The common factor in the first pair
9
h
3
−
9
h
2
9h^3 - 9h^2
9
h
3
−
9
h
2
is
9
h
2
9h^2
9
h
2
.
\newline
9
h
3
−
9
h
2
=
9
h
2
(
h
−
1
)
9h^3 - 9h^2 = 9h^2(h - 1)
9
h
3
−
9
h
2
=
9
h
2
(
h
−
1
)
Factor Second Pair:
Factor out the common factor from the second pair of terms.
\newline
The common factor in the second pair
−
2
h
+
2
-2h + 2
−
2
h
+
2
is
−
2
-2
−
2
.
\newline
−
2
h
+
2
=
−
2
(
h
−
1
)
-2h + 2 = -2(h - 1)
−
2
h
+
2
=
−
2
(
h
−
1
)
Combine Factored Pairs:
Write the expression with the factored pairs.
\newline
Now we have
9
h
2
(
h
−
1
)
−
2
(
h
−
1
)
9h^2(h - 1) - 2(h - 1)
9
h
2
(
h
−
1
)
−
2
(
h
−
1
)
.
Factor Common Binomial:
Factor out the common binomial factor.
\newline
The common binomial factor is
(
h
−
1
)
(h - 1)
(
h
−
1
)
.
\newline
9
h
2
(
h
−
1
)
−
2
(
h
−
1
)
=
(
h
−
1
)
(
9
h
2
−
2
)
9h^2(h - 1) - 2(h - 1) = (h - 1)(9h^2 - 2)
9
h
2
(
h
−
1
)
−
2
(
h
−
1
)
=
(
h
−
1
)
(
9
h
2
−
2
)
More problems from Factor by grouping
Question
Find the greatest common factor.
\newline
9
v
3
,
6
v
3
9v^3, 6v^3
9
v
3
,
6
v
3
\newline
\newline
Write your answer as a constant times a product of single variables raised to exponents.
\newline
‾
\underline{\hspace{1cm}}
Get tutor help
Posted 9 months ago
Question
Factor out the greatest common factor. If the greatest common factor is
1
1
1
, just retype the polynomial.
\newline
6
x
3
+
9
x
2
6x^3 + 9x^2
6
x
3
+
9
x
2
\newline
______
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Posted 9 months ago
Question
Factor.
\newline
k
2
+
9
k
+
18
k^2 + 9k + 18
k
2
+
9
k
+
18
\newline
______
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Posted 9 months ago
Question
Factor.
\newline
9
j
2
−
16
9j^2 - 16
9
j
2
−
16
\newline
______
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Posted 9 months ago
Question
Factor.
\newline
j
3
+
2
j
2
+
5
j
+
10
j^3 + 2j^2 + 5j + 10
j
3
+
2
j
2
+
5
j
+
10
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Posted 9 months ago
Question
Factor
x
4
+
6
x
2
+
9
x^4 + 6x^2 + 9
x
4
+
6
x
2
+
9
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
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Posted 1 year ago
Question
Factor.
\newline
z
2
+
13
z
+
22
z^2 + 13z + 22
z
2
+
13
z
+
22
\newline
______
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Posted 1 year ago
Question
Simplify the expression:
\newline
5
x
+
9
x
−
4
x
−
2
x
5x + 9x - 4x - 2x
5
x
+
9
x
−
4
x
−
2
x
\newline
______
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Posted 1 year ago
Question
3
−
3
2
3 - 3^2
3
−
3
2
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Question
5
−
5
2
5 - 5^2
5
−
5
2
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