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Byju's Answer
Standard IX
Mathematics
By Grouping
Factorize: 4 ...
Question
Factorize: 4x
2
+ 9y
2
+ 16z
2
+ 12xy − 24yz − 16xz.
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Solution
We
have
:
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
-
24
y
z
-
16
x
z
=
2
x
2
+
3
y
2
+
-
4
z
2
+
2
(
2
x
)
(
3
y
)
+
2
(
3
y
)
(
-
4
z
)
+
2
(
-
4
z
)
(
2
x
)
=
2
x
+
3
y
+
-
4
z
2
=
2
x
+
3
y
-
4
z
2
Suggest Corrections
47
Similar questions
Q.
Let
P
(
x
)
=
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
+
24
y
z
+
16
x
z
f
actorize
P
(
x
)
for
x
=
1
,
y
=
1
,
z
=
1.
Q.
State True or False.
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
−
24
y
z
−
16
x
z
=
(
2
x
+
3
y
−
4
z
)
(
2
x
+
3
y
−
4
z
)
Q.
Factorise:
(i)
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
−
24
y
z
−
16
x
z
(ii)
2
x
2
+
y
z
+
8
z
2
−
2
√
2
x
y
+
4
√
2
y
z
−
8
x
z
Q.
Express
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
−
24
y
z
−
16
z
x
as a square of a trinomial.
Q.
Question 5
Factorise:
(
i
)
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
−
24
y
z
−
16
x
z
(
i
i
)
2
x
2
+
y
2
+
8
z
2
−
2
√
2
x
y
+
4
√
2
y
z
−
8
x
z
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