Factorize 3y3+y2-3y=1
Answers
Answered by
1
Answer:
A quick inspection reveals that if
y
=
1
then
XXX
y
3
−
3
y
2
+
3
y
−
1
=
0
Therefore
(
y
−
1
)
is a factor of
y
3
−
3
y
2
+
3
y
−
1
(
y
3
−
3
y
2
+
3
y
−
1
)
÷
(
y
−
1
)
=
y
2
−
2
y
+
1
and
y
2
−
2
y
+
1
=
(
y
−
1
)
(
y
−
1
)
Therefore
y
3
−
3
y
2
+
3
y
−
1
XXX
=
(
y
−
1
)
(
y
−
1
)
(
y
−
1
)
XXX
=
(
y
−
1
)
3
Step-by-step explanation:
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