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Byju's Answer
Standard VIII
Mathematics
Factorisation by Regrouping Terms
Factorize eac...
Question
Factorize each of the following expressions:
xa
2
+ xb
2
− ya
2
− yb
2
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Solution
x
a
2
+
x
b
2
-
y
a
2
-
y
b
2
=
(
x
a
2
+
x
b
2
)
-
(
y
a
2
+
y
b
2
)
[
G
r
o
u
p
i
n
g
t
h
e
e
x
p
r
e
s
s
i
o
n
s
]
=
x
(
a
2
+
b
2
)
-
y
(
a
2
+
b
2
)
=
(
x
-
y
)
(
a
2
+
b
2
)
[
T
a
k
i
n
g
(
a
2
+
b
2
)
a
s
t
h
e
c
o
m
m
o
n
f
a
c
t
o
r
]
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Similar questions
Q.
Factorise:
x
a
2
+
y
b
2
+
y
a
2
+
x
b
2
Q.
Solve each of the following systems of equations by the method of cross-multiplication :
x
a
+
y
b
=
a
+
b
x
a
2
+
y
b
2
=
2
