366
You visited us
366
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VII
Mathematics
(a + b)^2 Expansion and Visualisation
Evaluate: a...
Question
Evaluate:
a
3
+
b
3
+
c
3
−
3
a
b
c
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a
+
b
+
c
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
a
+
b
+
c
a
3
+
b
3
+
c
3
−
3
a
b
c
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
=
(
a
+
b
+
c
)
(
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
)
(
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
)
=
a
+
b
+
c
.
Suggest Corrections
2
Similar questions
Q.
Value of
a
3
+
b
3
+
c
3
−
3
a
b
c
a
b
+
b
c
+
c
a
−
a
2
−
b
2
−
c
2
, when
a
=
−
5
,
b
=
−
6
,
c
=
10
is
Q.
If
a
+
b
+
C
=
12
and
a
2
+
b
2
+
c
2
=
50
, then find
a
b
+
b
c
+
a
c
and
a
3
+
b
3
+
c
3
−
3
a
b
c
Q.
Find the value of
a
3
+
b
3
+
c
3
−
3
a
b
c
a
b
+
b
c
+
c
a
−
a
2
−
b
2
−
c
2
, when
a
=
−
5
,
b
=
−
6
,
c
=
10
.
Q.
x
3
+
y
3
+
z
3
−
3
x
y
z
a
3
+
b
3
+
c
3
−
3
a
b
c
×
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
x
2
+
y
2
+
z
2
−
x
y
−
y
z
−
z
x
equals
Q.
State True or False.
a
3
+
b
3
+
c
3
−
3
a
b
c
=
1
2
(
a
+
b
+
c
)
[
(
a
−
b
)
2
+
(
b
−
c
)
2
+
(
c
−
a
)
2
]
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
(a + b)^2 Expansion and Visualisation
MATHEMATICS
Watch in App
Explore more
(a + b)^2 Expansion and Visualisation
Standard VII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app