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Standard VIII
Mathematics
Algebraic Identities
Question
Reduce the following expression using binomial identities:
(
3
x
+
5
)
(
3
x
+
10
)
.
9
x
2
+
45
x
+
50
9
x
2
+
45
x
−
50
9
x
2
−
45
x
+
50
9
x
2
+
45
−
50
A
9
x
2
+
45
x
+
50
B
9
x
2
−
45
x
+
50
C
9
x
2
+
45
x
−
50
D
9
x
2
+
45
−
50
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Solution
Verified by Toppr
We know that binomial identities for
(
x
+
y
)
(
x
+
z
)
=
x
2
+
(
y
+
z
)
x
+
y
z
So,
x
=
3
x
,
y
=
5
,
z
=
10
=
(
3
x
)
2
+
(
5
+
10
)
3
x
+
5
×
10
=
9
x
2
+
45
x
+
50
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Similar Questions
Q1
If one zero of the polynomial
p
(
x
)
=
(
a
2
+
9
)
x
2
+
45
x
+
6
a
is reciprocal of the other, find the value of a.
View Solution
Q2
Reduce the following expression using binomial identities:
(
3
x
+
5
)
(
3
x
+
10
)
.
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Q3
Factorise the following using appropriate identities:
9
x
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+
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x
y
+
y
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Q4
If
3
x
+
1
3
x
=
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find
9
x
2
+
1
9
x
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.
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Q5
Simplify the following algebraic expression
9
x
2
+
6
x
y
z
+
3
x
−
24
x
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+
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x
.
View Solution