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Byju's Answer
Standard VIII
Mathematics
Expansion of (x+y+z)^2
State the fol...
Question
State the following statement is True or False:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
b
2
+
a
b
)
.
A
True
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B
False
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Solution
The correct option is
A
True
Simplifying the expression on right hand side of the equation,
(
a
−
b
)
(
a
2
+
b
2
+
a
b
)
=
a
3
+
a
b
2
+
a
2
b
−
b
a
2
−
b
3
−
a
b
2
=
a
3
−
b
3
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0
Similar questions
Q.
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x
a
x
−
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a
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×
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State True or False.
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Q.
The product (a + b) (a − b) (a
2
− ab + b
2
) (a
2
+ ab + b
2
) is equal to
(a) a
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+ b
6
(b) a
6
− b
6
(c) a
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− b
3
(d) a
3
+ b
3