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Byju's Answer
Standard XII
Mathematics
Rational Function
Using propert...
Question
Using properties of determinants prove that
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
=
5
x
+
4
4
-
x
2
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Solution
∆
=
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
=
5
x
+
4
5
x
+
4
5
x
+
4
2
x
x
+
4
2
x
2
x
2
x
x
+
4
Applying
R
1
→
R
1
+
R
2
+
R
3
=
5
x
+
4
1
1
1
2
x
x
+
4
2
x
2
x
2
x
x
+
4
Take
out
5
x
+
4
common
from
R
1
=
5
x
+
4
1
0
0
2
x
4
-
x
0
2
x
0
4
-
x
Applying
C
2
→
C
2
-
C
1
and
C
3
→
C
3
-
C
1
=
5
x
+
4
(
4
-
x
)
2
Expanding
along
R
1
Hence proved.
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