Question

If x+y=9 and x^2 - y^2=27 then (x-y)^2=​

Answer 1

Answer:

Your answer is 9.

Step-by-step explanation:

x+y= 9 -> y= x+9

x^2 - y^2 = 27

x^2 - (9-x)^2 = 27

x^2 - (81-18x+x^2) = 27

x^2 - 81 + 18x - x^2 = 27

18x - 81 = 27

18x = 108

x = 6 ---> y= 9-x = 9-6 = 3

(x-y)^2

= (6- 3)^2

= 3^2

= 9

Answer 2

$\huge \green{ x = 6 \: \: \: \: \: y = 3}$

$\huge \green{ x + y = 9 = 6 + 3 = 9}$

$\huge \red{ {x}^{2} - {y}^{2} }$

$\huge \red{ {6}^{2} - {3}^{2} = 27}$

$\huge \red{ 36 - 9 = 27}$

$\huge \blue{ (x - y {)}^{2} }$

$\huge \blue{ {6}^{2} - {3}^{2} }$

$\huge \blue{36 - 9 = 27 }$

hope it's my answer