यदि `P(x+y)^(2)=5` और `q(x-y)^(2)=3` तो `p^(2)(x+y)^(2)+4pq xy –q^(2)(x-y)^(2)` का सरलीकृत मान क्या होगा?

Options

A. `2(p+q)`
B. `-(p+q)`
C. `-2(p+q)`
D. `p+q`

Answer

A

Explanation

`p(x+y)^(2)=5` and `q(x-y)^(2)=3`
Put the value of `x=2` and `y=1`
`p(2+1)^(2)=` and `q(2-1)^(2)= 3`
`p=5/9, q=3`
`top^(2)(x+y)^(2)+4pqxy-q^(2)(x-y)^(2)`
`=(5/9)^(2)(2+1)^(2)+4xx5/9xx3xx2xx`
`1-(3)^(2)(2-1)^(2)`
`=25/81xx9+40/3-9`
`=25/9+40/3-9`
`=25/9+40/3-9`
`=(25+120-80)/9=64/9`
Put the value of `p` and `q` option a
Option `Ato2(p+q)`
`=2(5/9+3)=2xx32/9=64/9`
OPtion `A` is satisfied
So `2(p+q)` is answer.