Find x 2 </msup> y 2 </msup> </mfrac> +

doturitip9 2022-07-07 Answered
Find x 2 y 2 + y 2 x 2
If x y + y x = 3
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Answers (2)

poquetahr
Answered 2022-07-08 Author has 18 answers
x y + y x = 3 ( x y + y x ) 2 = 9 x 2 y 2 + y 2 x 2 = 9 2 = 7

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Gretchen Schwartz
Answered 2022-07-09 Author has 5 answers
Hint: Look at:
( x y + y x ) 2 = 3 2 = 9
Why to look at this? We know if we expand we will have a ( x y ) 2 = x 2 y 2 term and a ( y x ) 2 = y 2 x 2 term so this might be worth a try.\

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