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Byju's Answer
Standard VIII
Mathematics
Factorization of a Quadratic Trinomial
What is the e...
Question
What is the expansion for the identity
(
a
–
b
)
2
?
A
a
2
−
b
2
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B
(
a
2
+
b
2
+
a
b
)
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C
(
a
2
−
b
2
−
2
a
b
)
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D
(
a
2
+
b
2
–
2
a
b
)
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Solution
The correct option is
D
(
a
2
+
b
2
–
2
a
b
)
(
a
−
b
)
2
=
(
a
−
b
)
(
a
−
b
)
=
a
(
a
−
b
)
−
b
(
a
−
b
)
=
a
2
−
a
b
−
a
b
+
b
2
=
a
2
−
2
a
b
+
b
2
=
a
2
+
b
2
−
2
a
b
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0
Similar questions
Q.
If sin α + sin β = a and cos α + cos β = b, show that
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