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Byju's Answer
Standard VIII
Mathematics
Addition and Subtraction of Algebraic Expression
Simplify : 3...
Question
Simplify :
(
3
x
2
−
2
x
+
1
)
+
(
x
2
+
5
x
−
3
)
+
(
4
x
2
+
8
)
A
8
x
2
+
3
x
+
6
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B
x
2
+
x
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C
x
2
+
x
6
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D
8
x
2
+
x
+
9
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Solution
The correct option is
B
8
x
2
+
3
x
+
6
(
3
x
2
−
2
x
+
1
)
+
(
x
2
+
5
x
−
3
)
+
(
4
x
2
+
8
)
=
3
x
2
−
2
x
+
1
+
x
2
+
5
x
−
3
+
4
x
2
+
8
=
8
x
2
+
3
x
+
6
Suggest Corrections
0
Similar questions
Q.
Factorize the following polynomials.
(i) (x
2
– x)
2
– 8 (x
2
– x) + 12
(ii) (x – 5)
2
– (5x – 25) – 24
(iii) (x
2
– 6x)
2
– 8 (x
2
– 6x + 8) – 64
(iv) (x
2
– 2x + 3) (x
2
– 2x + 5) – 35
(v) (y + 2) (y – 3) (y + 8) (y + 3) + 56
(vi) (y
2
+ 5y) (y
2
+ 5y – 2) – 24
(vii) (x – 3) (x – 4)
2
(x – 5) – 6
Q.
Simplify
3
−
12
x
2
2
x
2
−
15
x
−
8
×
x
2
−
5
x
−
24
8
x
2
−
28
x
+
12
.
Q.
Simplify:
1
x
2
−
3
x
+
2
+
1
x
2
−
5
x
+
6
+
1
x
2
−
4
x
+
3
Q.
Which of the following are quadratic equations?
(i) x
2
+ 6x − 4 = 0
(ii)
3
x
2
-
2
x
+
1
2
=
0
(iii)
x
2
+
1
x
2
=
5
(iv)
x
-
3
x
=
x
2
(v)
2
x
2
-
3
x
+
9
=
0
(vi)
x
2
-
2
x
-
x
-
5
=
0
(vii) 3x
2
− 5x + 9 = x
2
− 7x + 3
(viii)
x
+
1
x
=
1
(ix) x
2
− 3x = 0
(x)
x
+
1
x
2
=
3
x
+
1
x
+
4
(xi) (2x + 1) (3x + 2) = 6(x − 1) (x − 2)
(xii)
x
+
1
x
=
x
2
,
x
≠
0
(xiii) 16x
2
− 3 = (2x + 5) (5x − 3)
(xiv) (x + 2)
3
= x
3
− 4
(xv) x(x + 1) + 8 = (x + 2) (x − 2)