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Byju's Answer
Standard VIII
Mathematics
Factorisation by Regrouping Terms
x?+y?+16+2xy+...
Question
x?+y?+16+2xy+8x+8y factorise using suitable identity.
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Solution
Dear student
Assuming
question
as
x
2
+
y
2
+
16
+
2
xy
+
8
x
+
8
y
=
x
2
+
y
2
+
4
2
+
2
(
x
)
(
y
)
+
2
(
y
)
(
4
)
+
2
(
4
)
(
x
)
=
(
x
+
y
+
4
)
2
∵
a
+
b
+
c
2
=
a
2
+
b
2
+
c
2
+
2
ab
+
2
bc
+
2
ca
Regards
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0
Similar questions
Q.
Factorise using suitable identity:
b)
x
2
+
2
x
y
+
y
2
−
1
Q.
Factorise using suitable identity:
9
(
x
−
y
)
2
−
16
(
p
−
2
q
)
2
Q.
The equation of the parabola with focus (0, 0) and directrix x + y = 4 is
(a) x
2
+ y
2
− 2xy + 8x + 8y − 16 = 0
(b) x
2
+ y
2
− 2xy + 8x + 8y = 0
(c) x
2
+ y
2
+ 8x + 8y − 16 = 0
(d) x
2
− y
2
+ 8x + 8y − 16 = 0
