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(2uv)^2 + (u^2 - v^2)^2 =
[#permalink]
19 Jun 2020, 06:15
19 Jun 2020, 06:15
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A
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E
Difficulty:
35%
(medium)
Question Stats:
62% (01:13) correct
38%
(02:11)
wrong
based on 53
sessions
\((2uv)^2 + (u^2 - v^2)^2 = \)
A. \(2uv\)
B. \(u^2-v^2\)
C. \(u^2+v^2\)
D. \((2uv)^2 + (u^2+v^2)^2\)
E. \((u^2+v^2)^2\)
A. \(2uv\)
B. \(u^2-v^2\)
C. \(u^2+v^2\)
D. \((2uv)^2 + (u^2+v^2)^2\)
E. \((u^2+v^2)^2\)
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Re: (2uv)^2 + (u^2 - v^2)^2 =
[#permalink]
19 Jun 2020, 06:21
19 Jun 2020, 06:21
1
Kudos
(2uv)^2 + (u^2 - v^2)^2 = X
4u^2v^2 + u^4 + v^4 -2u^2v^2 = X
u^4 + v^4 + 2u^2v^2 = X
(U^2 + V^2)^2 = X
Answer is E
Posted from my mobile device
4u^2v^2 + u^4 + v^4 -2u^2v^2 = X
u^4 + v^4 + 2u^2v^2 = X
(U^2 + V^2)^2 = X
Answer is E
Posted from my mobile device
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Re: (2uv)^2 + (u^2 - v^2)^2 =
[#permalink]
19 Jun 2020, 06:21
19 Jun 2020, 06:21
Expert Reply
Bunuel wrote:
\((2uv)^2 + (u^2 - v^2)^2 = \)
A. \(2uv\)
B. \(u^2-v^2\)
C. \(u^2+v^2\)
D. \((2uv)^2 + (u^2+v^2)^2\)
E. \((u^2+v^2)^2\)
A. \(2uv\)
B. \(u^2-v^2\)
C. \(u^2+v^2\)
D. \((2uv)^2 + (u^2+v^2)^2\)
E. \((u^2+v^2)^2\)
\((2uv)^2 + (u^2 - v^2)^2 = 4*u^2*v^2 + u^4 + v^4 - 2*u^2*v^2 = 2*u^2*v^2 + u^4 + v^4 = (u^2+v^2)^2\)
Answer: Option E
