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Algebra and Applications Test 2
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© examsnet.com
Question : 9
Total: 40
If
u
2
=
g
v
+
h
w
,
v
2
=
f
u
+
w
2
=
f
u
+
g
v
; then what is the expression
1
u
+
f
+
g
v
+
g
+
h
w
+
h
equal to?
1
u
+
1
v
+
1
w
1
-1
0
None of these
Validate
Solution:
👈: Video Solution
u
2
=
g
v
+
h
w
⇒
u
2
+
f
u
=
f
u
+
g
v
+
h
w
⇒
u
(
u
+
f
)
=
f
u
+
g
v
+
h
v
⇒
1
u
+
f
=
u
f
u
+
g
v
+
h
w
⇒
f
u
+
f
=
f
u
f
u
+
g
v
+
h
w
......(i)
Also,
v
2
=
h
w
+
f
u
⇒
v
2
+
g
v
=
f
u
+
h
w
+
g
v
⇒
v
(
v
+
g
)
=
f
u
+
h
w
+
g
v
⇒
g
(
v
+
g
)
=
g
v
f
u
+
h
w
+
g
v
......(ii)
and
w
2
=
f
u
+
g
v
⇒
w
2
+
h
w
=
f
u
+
h
w
+
g
v
⇒
w
(
w
+
h
)
=
f
u
+
h
w
+
g
v
⇒
h
(
w
+
h
)
=
h
w
f
u
+
h
w
+
g
v
......(iii)
Adding (i), (ii) and (iii) we get,
f
u
f
u
+
g
v
+
h
w
+
g
v
f
u
+
h
w
+
g
v
+
h
w
f
u
+
h
w
+
g
v
=
f
u
+
g
v
+
h
w
f
u
+
g
v
+
h
w
=
1
© examsnet.com
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