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Byju's Answer
Standard IX
Mathematics
By Grouping
Factorize: 25...
Question
Factorize: 25x
2
+ 4y
2
+ 9z
2
− 20xy − 12yz + 30xz.
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Solution
We
have
:
25
x
2
+
4
y
2
+
9
z
2
-
20
x
y
-
12
y
z
+
30
x
z
=
5
x
2
+
-
2
y
2
+
3
z
2
+
2
(
5
x
)
(
-
2
y
)
+
2
(
-
2
y
)
(
3
z
)
+
2
(
3
z
)
(
5
x
)
=
5
x
+
-
2
y
+
3
z
2
=
5
x
-
2
y
+
3
z
2
Suggest Corrections
6
Similar questions
Q.
Factrorise
25
x
2
+
4
y
2
+
9
z
2
−
20
x
y
−
12
y
z
+
30
x
z
Q.
Factorize
4
y
2
−
12
y
z
−
x
2
+
9
z
2
Q.
Factorize:
25
x
2
−
20
x
y
+
4
y
2
Q.
Question 29
Factorise the following:
(i)
9
x
2
+
4
y
2
+
16
z
2
+
12
x
y
–
16
y
z
–
24
x
z
(ii)
25
x
2
+
16
y
2
+
4
z
2
–
40
x
y
+
16
y
z
–
20
x
z
(iii)
16
x
2
+
4
y
2
+
9
z
2
–
16
x
y
–
12
y
z
+
24
x
z
Q.
Question 29
Factorise the following:
(i)
9
x
2
+
4
y
2
+
16
z
2
+
12
x
y
–
16
y
z
–
24
x
z
(ii)
25
x
2
+
16
y
2
+
4
z
2
–
40
x
y
+
16
y
z
–
20
x
z
(iii)
16
x
2
+
4
y
2
+
9
z
2
–
16
x
y
–
12
y
z
+
24
x
z
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