24x²y + 12 x²- 12 x y -6x
Answers
Factor
6
x
out of
24
x
2
y
+
12
x
2
−
12
x
y
−
6
x
.
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Factor
6
x
out of
24
x
2
y
.
6
x
(
4
x
y
)
+
12
x
2
−
12
x
y
−
6
x
Factor
6
x
out of
12
x
2
.
6
x
(
4
x
y
)
+
6
x
(
2
x
)
−
12
x
y
−
6
x
Factor
6
x
out of
−
12
x
y
.
6
x
(
4
x
y
)
+
6
x
(
2
x
)
+
6
x
(
−
2
y
)
−
6
x
Factor
6
x
out of
−
6
x
.
6
x
(
4
x
y
)
+
6
x
(
2
x
)
+
6
x
(
−
2
y
)
+
6
x
(
−
1
)
Factor
6
x
out of
6
x
(
4
x
y
)
+
6
x
(
2
x
)
.
6
x
(
4
x
y
+
2
x
)
+
6
x
(
−
2
y
)
+
6
x
(
−
1
)
Factor
6
x
out of
6
x
(
4
x
y
+
2
x
)
+
6
x
(
−
2
y
)
.
6
x
(
4
x
y
+
2
x
−
2
y
)
+
6
x
(
−
1
)
Factor
6
x
out of
6
x
(
4
x
y
+
2
x
−
2
y
)
+
6
x
(
−
1
)
.
6
x
(
4
x
y
+
2
x
−
2
y
−
1
)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
6
x
(
(
4
x
y
+
2
x
)
−
2
y
−
1
)
Factor out the greatest common factor (GCF) from each group.
6
x
(
2
x
(
2
y
+
1
)
−
(
2
y
+
1
)
)
Factor.
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Factor the polynomial by factoring out the greatest common factor,
2
y
+
1
.
6
x
(
(
2
y
+
1
)
(
2
x
−
1
)
)
Remove unnecessary parentheses.
6
x
(
2
y
+
1
)
(
2
x
−
1
)
Answer:
Step-by-step explanation:
factor
24xsaqureY+12xsaqure-12xy-6x:6x(2y+1)(2x-1)
factor out common term
6x:6x
(4xy+2x-2y-1)
=6x(4xy+2x-2y-1)
factor
4xy+2x-2y-1: (2y+1)(2x-1)
=6x(2y+1)(2x-1).