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Byju's Answer
Standard VII
Mathematics
(a-b)^2 Expansion and Visualisation
Factorise: 1 ...
Question
Factorise: (1)
x
3
+
3
y
3
(2)
8
y
3
−
8
x
2
−
9
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Solution
(1) we need to factorise
x
3
+
3
y
3
By using the identity,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
Now we can rewrite the expression as
x
3
+
3
y
3
=
(
x
+
√
3
y
)
(
x
2
−
√
3
x
y
+
√
3
y
2
)
Hence, factors are
(
x
+
√
3
y
)
,
(
x
2
−
√
3
x
y
+
√
3
y
2
)
(2).
8
y
3
−
8
x
2
−
9
It cannot be factorised.
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