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Byju's Answer
Standard VIII
Mathematics
Algebraic Quadratic Identity
Question 5ivS...
Question
Question 5(iv)
Show that:
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
48
p
q
2
Open in App
Solution
L.H.S =
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
(
4
p
q
)
2
+
2
×
4
p
q
×
3
q
+
(
3
q
)
2
−
[
(
4
p
q
)
2
−
2
×
4
p
q
×
3
q
+
(
3
q
)
2
]
[
U
s
i
n
g
i
d
e
n
t
i
t
i
e
s
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
a
n
d
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
]
=
16
p
2
q
2
+
24
p
q
2
+
9
q
2
−
[
16
p
2
q
2
−
24
p
q
2
+
9
q
2
]
=
16
p
2
q
2
+
24
p
q
2
+
9
q
2
−
16
p
2
q
2
+
24
p
q
2
−
9
q
2
=
48
p
q
2
=R.H.S
Suggest Corrections
125
Similar questions
Q.
Question 5(iv)
Show that:
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
48
p
q
2
Q.
Show that:
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
48
p
q
2
Q.
Prove that:
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
48
p
q
2
.
Q.
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
Q.
The value of
(
4
p
q
+
3
q
)
2
−
(
4
p
q
−
3
q
)
2
=
.
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Standard VIII Mathematics
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