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Byju's Answer
Standard VIII
Mathematics
Addition and Subtraction of Algebraic Expression
Add 8a-6ab+5...
Question
Add
8
a
−
6
a
b
+
5
b
,
−
6
a
−
a
b
−
8
b
,
−
4
a
+
2
a
b
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Solution
Given expressions are
8
a
−
6
a
b
+
5
b
,
−
6
a
−
a
b
−
8
b
,
−
4
a
+
2
a
b
.
Adding the given expressions by combining the like terms, we get:
=
8
a
−
6
a
b
+
5
b
−
6
a
−
a
b
−
8
b
−
4
a
+
2
a
b
=
8
a
−
6
a
−
4
a
−
6
a
b
−
a
b
+
2
a
b
+
5
b
−
8
b
s
o
w
e
g
e
t
,
=
−
2
a
−
5
a
b
−
3
b
Hence, the sum of the given expressions is
−
2
a
−
5
a
b
−
3
b
.
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0
Similar questions
Q.
Add the following expressions:
(i)
8
a
-
6
a
b
+
5
b
,
-
6
a
-
a
b
-
8
b
and
-
4
a
+
2
a
b
+
3
b
(ii)
5
x
3
+
7
+
6
x
-
5
x
2
,
2
x
2
-
8
-
9
x
,
4
x
-
2
x
2
+
3
x
3
,
3
x
3
-
9
x
-
x
2
and
x
-
x
2
-
x
3
-
4
Q.
Add:
(i) 3a − 2b + 5c, 2a + 5b − 7c, − a − b + c
(ii) 8a − 6ab + 5b, −6a − ab − 8b, −4a + 2ab + 3b
(iii) 2x
3
− 3x
2
+ 7x − 8, −5x
3
+ 2x
2
− 4x + 1, 3 − 6x + 5x
2
− x
3
(iv) 2x
2
− 8xy + 7y
2
− 8xy
2
, 2xy
2
+ 6xy − y
2
+ 3x
2
, 4y
2
− xy − x
2
+ xy
2
(v) x
3
+ y
3
− z
3
+ 3xyz, − x
3
+ y
3
+ z
3
− 6xyz, x
3
− y
3
− z
3
− 8xyz
(vi) 2 + x − x
2
+ 6x
3
, −6 −2x + 4x
2
−3x
3
, 2 + x
2
, 3 − x
3
+ 4x − 2x
2
Q.
Add the following algebraic expressions using vertical method
(i)
4
a
2
+
5
b
2
+
6
a
b
;
3
a
b
;
6
a
2
−
2
b
2
;
4
b
2
−
5
a
b
Q.
Find the value of
(
6
a
−
8
b
)
−
(
−
4
a
−
5
b
)
Q.
Simplify
(
4
a
+
5
b
)
(
6
a
−
7
b
)
−
(
a
+
2
b
+
3
)
(
8
a
−
11
)
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