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Subjects
Mathematics State Board
Class 10
Algebra
GCD and LCM of Polynomials
17.
Five mark exercise problems VI
Exercise condition:
5
m.
Find the GCD of each pair of the following polynomials.
(
x
3
+
y
3
)
,
(
x
4
+
x
2
y
2
+
y
4
)
whose LCM is
(
x
3
+
y
3
)
(
x
2
+
xy
+
y
2
)
.
Answer
:
The GCD is:
\(x^3 + y^3\)
\(x^2 + y^2 + xy\)
\(x^2 + y^2 - xy\)
\(x^3 - y^3\)
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