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Byju's Answer
Standard IX
Mathematics
Perfect Square Trinomials
If 1 - x 2...
Question
If
(
1
−
x
2
)
(
1
−
y
2
)
+
4
x
y
factorized then its factors are
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Solution
Given that function
(
1
−
y
2
)
(
1
−
x
2
)
+
4
x
y
⇒
1
−
x
2
−
y
2
+
x
2
y
2
+
4
x
y
⇒
x
2
y
2
+
1
−
x
2
−
y
2
+
2
x
y
+
2
x
y
⇒
x
2
y
2
+
1
+
2
x
y
−
(
x
2
+
y
2
−
2
x
y
)
(
x
y
+
1
)
2
−
(
x
−
y
)
2
⇒
We know that
∵
(
a
2
−
b
2
)
=
(
a
+
b
)
(
a
−
b
)
(
x
y
+
1
+
x
−
y
)
(
x
y
+
1
−
x
+
y
)
=
(
x
y
+
x
−
y
+
1
)
(
x
y
+
y
−
x
+
1
)
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Similar questions
Q.
Factorize:
(
1
−
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Factorize it partially
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can be resolved into two rational factors-
Q.
If
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are factors of the expression
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