factorize 125x^3+y^3
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Answered by
1
Answer:
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Algebra Examples
Popular Problems Algebra Factor 125x^3-y^3
125
x
3
−
y
3
125x3-y3
Rewrite
125
x
3
125x3 as
(
5
x
)
3
(5x)3.
(
5
x
)
3
−
y
3
(5x)3-y3
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a3-b3=(a-b)(a2+ab+b2) where
a
=
5
x
a=5x and
b
=
y
b=y.
(
5
x
−
y
)
(
(
5
x
)
2
+
5
x
y
+
y
2
)
(5x-y)((5x)2+5xy+y2)
Simplify.
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(
5
x
−
y
)
(
25
x
2
+
5
x
y
+
y
2
)
(5x-y)(25x2+5xy+y2)
Answered by
0
Answer:
125x^3 + y^3
(5x)^3 + y^3
(5x+y) {(5x)^2 - (5x)(y) + (y) ^2
(a^3 +b^3= (a+b) (a^2 -ab +b^2)
(5x+y) (25x^2 -5xy +y^2)
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