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Byju's Answer
Standard VIII
Mathematics
Addition and Subtraction of Algebraic Expression
Subtract 2x...
Question
Subtract
2
x
3
−
x
2
+
4
x
−
6
from
x
3
+
5
x
2
−
4
x
+
6
.
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Solution
(
x
3
+
5
x
2
−
4
x
+
6
)
−
(
2
x
3
−
x
2
+
4
x
−
6
)
=
x
3
+
5
x
2
−
4
x
+
6
−
2
x
3
+
x
2
−
4
x
+
6
=
(
1
−
2
)
x
3
+
(
5
+
1
)
x
2
+
(
−
4
−
4
)
x
+
(
6
+
6
)
=
−
1
x
3
+
6
x
2
−
8
x
+
12
=
−
x
3
+
6
x
2
−
8
x
+
12
Hence,
$(x^3 + 5x^2 -4x + 6)- (2x^3 -x^2 + 4x -6)
=- x^3 + 6x^2 -8x + 12
$.
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3
Similar questions
Q.
State True or False:
On subtracting
x
3
−
4
x
−
1
from
3
x
3
−
x
2
+
6
, the answer is
2
x
3
−
x
2
+
4
x
+
7
.
Q.
must be subtracted from
(
x
3
−
3
x
2
+
5
x
−
1
)
to get
(
2
x
3
+
x
2
−
4
x
+
2
)
.
Q.
Match the following.
Column - I
Column - II
(P)
(
x
2
+
5
)
(
x
3
+
3
)
+
5
(1)
−
x
3
−
3
x
2
+
3
x
+
2
(Q)
(
−
10
3
x
y
3
)
×
(
6
5
x
3
y
)
(2)
−
x
3
+
x
2
+
3
x
−
6
(R)
(
x
3
−
x
2
−
x
−
2
)
−
(
2
x
3
+
2
x
2
−
4
x
−
4
)
(3)
x
5
+
5
x
3
+
3
x
2
+
20
(S)
(
x
3
−
x
2
−
x
−
2
)
+
(
2
x
2
−
2
x
3
+
4
x
−
4
)
(4)
−
4
x
4
y
4
Q.
What must be subtracted from (x
4
+ 2x
3
ā 2x
2
+ 4x + 6) so that the result is exactly divisible by (x
2
+ 2x ā 3)?