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Byju's Answer
Standard VII
Mathematics
(a + b)^2 Expansion and Visualisation
Find the valu...
Question
Find the value of
a
2
+
b
2
if
a
+
b
=
5
and
a
b
=
3
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Solution
(
a
+
b
)
2
=
a
2
+
b
2
+
2
a
b
⇒
a
2
+
b
2
=
(
a
+
b
)
2
−
2
a
b
⇒
a
2
+
b
2
=
(
5
)
2
−
2
×
3
⇒
a
2
+
b
2
=
25
−
6
=
19
∴
a
2
+
b
2
=
19
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4
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