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Byju's Answer
Standard VII
Mathematics
Types of Expressions Based on the Number of Terms
Find : a2+b2...
Question
Find :
a
2
+
b
2
+
c
2
, if
a
+
b
+
c
=
9
and
a
b
+
b
c
+
c
a
=
24
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Solution
Formula
(
a
+
b
+
c
)
2
=
a
2
+
b
2
+
c
2
+
2
(
a
b
+
b
c
+
c
a
)
Substituting
a
+
b
+
c
=
9
;
a
b
+
b
c
+
c
a
=
24
9
2
=
a
2
+
b
2
+
c
2
+
2
(
24
)
81
−
48
=
a
2
+
b
2
+
c
2
a
2
+
b
2
+
c
2
=
33
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Q.
If a + b + c = 9 and ab + bc + ca = 40, find a
2
+ b
2
+c
2
.