1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Multiplication of Any Polynomial
Add aa-b, b...
Question
Add
a
(
a
−
b
)
,
b
(
b
−
c
)
,
c
(
c
−
a
)
Open in App
Solution
We find the sum of the given polynomials
a
(
a
−
b
)
,
b
(
b
−
c
)
,
c
(
c
−
a
)
as follows:
a
(
a
−
b
)
+
b
(
b
−
c
)
+
c
(
c
−
a
)
=
a
2
−
a
b
+
b
2
−
b
c
+
c
2
−
c
a
=
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
Hence,
a
(
a
−
b
)
+
b
(
b
−
c
)
+
c
(
c
−
a
)
=
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
.
Suggest Corrections
0
Similar questions
Q.
Add the product
a
(
a
−
b
)
,
b
(
b
−
c
)
,
c
(
c
−
a
)
Q.
Prove the following :
∣
∣ ∣
∣
b
+
c
c
+
a
a
+
b
a
+
b
b
+
c
c
+
a
c
+
a
a
+
b
b
+
c
∣
∣ ∣
∣
=
2
∣
∣ ∣
∣
a
b
c
c
a
b
b
c
a
∣
∣ ∣
∣
Q.
Using the property of determinants and without expanding, prove that: