a=x+y, b^2= x^2-y^2, c^3=x^3+y^3. show that a^3+2c^3=3ab^2
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Answer:
Correct option is
B
a
2
b
4
c
xy
2
=a
3
(1)
yz
2
=b
3
(2)
zx
2
=c
3
(3)
From (3) z=
x
2
c
3
(4)
Substituting value of x from (1) in (4)
z=
(
y
2
a
3
)
2
c
3
=
a
6
c
3
y
4
(5)
Substituting value of y from (2) in (5)
z=
a
6
c
3
(
z
2
b
3
)
4
=
z
8
a
6
c
3
b
12
(6)
From (6)
z
9
=
a
6
c
3
b
12
z
3
=
a
2
cb
4
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Answer:
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