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Byju's Answer
Standard VIII
Mathematics
Division of Polynomials
Factorize eac...
Question
Factorize each of the following expressions:
x
2
−
9
a
x
+
18
a
2
A
(
x
−
6
a
)
(
x
−
3
a
)
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B
(
x
+
6
a
)
(
x
−
3
a
)
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C
(
x
−
6
a
)
(
x
+
3
a
)
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D
(
x
+
6
a
)
(
x
+
3
a
)
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Solution
The correct option is
C
(
x
−
6
a
)
(
x
−
3
a
)
x
2
−
9
a
x
+
18
a
2
=
x
2
−
3
a
x
−
6
a
x
+
18
a
2
=
x
(
x
−
3
a
)
−
6
a
(
x
−
3
a
)
=
(
x
−
3
a
)
(
x
−
6
a
)
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Similar questions
Q.
Solve for x and y:
6
(
a
x
+
b
y
)
=
3
a
+
2
b
,
6
(
b
x
−
a
y
)
=
3
b
−
2
a
.
Q.
6
a
x
+
b
y
=
3
a
+
2
b
,
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x
-
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=
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b
-
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a
.
Q.
The equation of the parabola whose vertex is (a, 0) and the directrix has the equation x + y = 3a, is
(a) x
2
+ y
2
+ 2xy + 6ax + 10ay + 7a
2
= 0
(b) x
2
− 2xy + y
2
+ 6ax + 10ay − 7a
2
= 0
(c) x
2
− 2xy + y
2
− 6ax + 10ay − 7a
2
= 0
(d) none of these