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Standard VIII
Mathematics
Factorisation by Common Factors
Question
Factorise:
x
4
−
y
4
Open in App
Solution
Verified by Toppr
We need to factorise
x
4
−
y
4
The given expression can be factorised by using property
(
a
2
−
b
2
)
=
(
a
+
b
)
(
a
−
b
)
It can be written as
x
4
−
y
4
=
(
x
2
)
2
−
(
y
2
)
2
Here
a
=
x
2
,
b
=
y
2
Hence,
(
x
4
−
y
4
)
=
(
x
2
+
y
2
)
(
x
2
−
y
2
)
=
(
x
2
+
y
2
)
(
x
+
y
)
(
x
−
y
)
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