Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard VIII
Mathematics
Algebraic Identities
Question
State whether the statement is True or False:
(
2
a
+
3
)
(
2
a
−
3
)
(
4
a
2
+
9
)
is equal to
16
a
4
−
81
.
True
False
A
True
B
False
Open in App
Solution
Verified by Toppr
Given,
(
2
a
+
3
)
(
2
a
−
3
)
(
4
a
2
+
9
)
.
We know,
(
a
+
b
)
(
a
−
b
)
=
(
a
2
−
b
2
)
.
Multiply by using direct method, we get,
(
2
a
+
3
)
(
2
a
−
3
)
(
4
a
2
+
9
)
=
[
(
2
a
)
2
−
(
3
)
2
]
(
4
a
2
+
9
)
=
(
4
a
2
−
9
)
(
4
a
2
+
9
)
=
(
4
a
2
+
9
)
(
4
a
2
−
9
)
.
Was this answer helpful?
0
Similar Questions
Q1
State whether the statement is True or False:
(
2
a
+
3
)
(
2
a
−
3
)
(
4
a
2
+
9
)
is equal to
16
a
4
−
81
.
View Solution
Q2
State whether the statement is True or False.
(
2
a
+
3
)
(
2
a
−
3
)
is equal to
4
a
2
−
9
.
View Solution
Q3
State whether the statement is True or False:
(
2
a
+
b
)
2
is equal to
4
a
2
+
4
a
b
+
b
2
.
View Solution
Q4
State whether the statement is True or False.
(
0.5
−
2
a
)
(
0.5
+
2
a
)
is equal to
0.25
−
4
a
2
.
View Solution
Q5
State whether the statement is True or False.
(
2
a
+
1
2
a
)
(
2
a
−
1
2
a
)
is equal to
4
a
2
−
1
4
a
2
.
View Solution