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Byju's Answer
Standard IX
Mathematics
Addition of Polynomials
5 x-6 y3+7 z-...
Question
(5x
-
6y)
3
+ (7z
-
5x)
3
+ (6y
-
7z)
3
Open in App
Solution
We
have
5
x
-
6
y
3
+
7
z
-
5
x
3
+
6
y
-
7
z
3
Let
5
x
-
6
y
=
a
,
7
z
-
5
x
=
b
and
6
y
-
7
z
=
c
∴
5
x
-
6
y
3
+
7
z
-
5
x
3
+
6
y
-
7
z
3
=
a
3
+
b
3
+
c
3
Here
,
a
+
b
+
c
=
5
x
-
6
y
+
7
z
-
5
x
+
6
y
-
7
z
=
0
However
,
we
know
that
if
a
+
b
+
c
=
0
,
then
a
3
+
b
3
+
c
3
=
3
a
b
c
∴
5
x
-
6
y
3
+
7
z
-
5
x
3
+
6
y
-
7
z
3
=
3
5
x
-
6
y
7
z
-
5
x
6
y
-
7
z
Suggest Corrections
0
Similar questions
Q.
Factorise the following :
(
5
x
−
6
y
)
3
+
(
7
z
−
5
x
)
3
+
(
6
y
−
7
z
)
3
Q.
Factorise:
(x-3y)
3
+(3y-7z)
3
+(7z-x)
3
Q.
Find the product of
5
x
,
6
y
and
7
z
Q.
Find the parametric and symmetric equation of the line passing through the point
(
2
,
3
,
4
)
and perpendicular to the plane
5
x
+
6
y
−
7
z
=
20
?
Q.
Add:
3
+
2
y
−
5
y
2
+
6
y
3
,
−
8
+
3
y
+
7
y
3
and
5
−
6
y
−
8
y
3
+
y
2
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