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Byju's Answer
Standard X
Mathematics
Multiplication of Rational Expressions
Find the prod...
Question
Find the product of
x
−
3
x
−
4
and
x
2
−
5
x
+
4
x
2
−
2
x
−
3
A
x
−
1
x
+
1
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B
x
+
1
x
−
1
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C
2
x
−
1
x
+
2
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D
None of the above
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Solution
The correct option is
A
x
−
1
x
+
1
x
−
3
x
−
4
×
x
2
−
5
x
+
4
x
2
−
2
x
−
3
=
x
−
3
x
−
4
×
(
x
−
4
)
(
x
−
1
)
(
x
−
3
)
(
x
+
1
)
=
(
x
−
3
)
(
x
−
4
)
(
x
−
1
)
(
x
−
4
)
(
x
−
3
)
(
x
+
1
)
=
x
−
1
x
+
1
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0
Similar questions
Q.
Multiply the following and write your answer in lowest terms:
2
x
−
1
x
2
+
2
x
+
4
×
x
4
−
8
x
2
x
2
+
5
x
−
3
×
x
+
3
x
2
−
2
x
Q.
Find the following product:
(
x
2
−
5
x
+
8
)
×
(
x
2
+
2
x
−
3
)
Q.
x
2
−
7
x
+
10
x
2
−
5
x
−
14
×
x
3
+
8
x
3
−
8
×
x
2
+
2
x
+
4
x
2
−
2
x
+
4
×
x
−
7
x
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5
=
?
Q.
Find the values of a, b, c for following quadratic equations by comparing with standard form.
(i) x
2
+ 2x + 1 = 0
(ii) 2x
2
– x + 3 = 0
(iii) x
2
– x – 3 = 0
(iv) x
2
+ 5x – 4 = 0
(v) x
2
– 7x + 4 = 0
(vi) 4x
2
– 9x + 1 = 0
Q.
The value of
(
x
−
3
x
2
−
x
−
6
+
2
x
−
1
2
x
2
+
5
x
−
3
−
2
x
+
5
x
2
+
5
x
+
6
)
is:
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