factorize 125xpower 4 -216x
Answers
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Answer:
x(5x−6)(25x2+30x+36)
is the answer
Answered by
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This is the difference of two cubes,
ie
X
3
−
Y
3
=
(
X
−
Y
)
(
X
2
+
X
Y
+
Y
2
)
(Learn This)
Explanation:
125
x
3
−
64
y
3
=
(
5
x
)
3
−
(
4
y
)
3
=
(
5
x
−
4
y
)
(
(
5
x
)
2
+
(
5
x
)
(
4
y
)
+
(
4
y
)
2
)
=
(
5
x
−
4
y
)
(
25
x
2
+
20
x
y
+
16
y
2
)
Answer
ie
X
3
−
Y
3
=
(
X
−
Y
)
(
X
2
+
X
Y
+
Y
2
)
(Learn This)
Explanation:
125
x
3
−
64
y
3
=
(
5
x
)
3
−
(
4
y
)
3
=
(
5
x
−
4
y
)
(
(
5
x
)
2
+
(
5
x
)
(
4
y
)
+
(
4
y
)
2
)
=
(
5
x
−
4
y
)
(
25
x
2
+
20
x
y
+
16
y
2
)
Answer
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