For what values of x and y is the equation (x2 + y2)2 = (x2 – y2)2 + (2xy)2 true?

Answer

For any values of x and y is the equation(x2 + y2)2 = (x2 – y2)2 + (2xy)2  is true

Solution

Consider the identities

(a + b)^2 = a2 + b2 +2ab  (1)

(a - b)^2 = a2 + b2 -2ab   (2)

from (1) and (2) we can write

(a + b)^2 = (a - b)^2 + 4ab

Here a=x2 and b=y2

(x2 + y2)2  = (x2)2 + (y2)2 +2x2y2

(x2 - y2)2  = (x2)2 + (y2)2 -2x2y2

Therefore  

(x2 + y2)2 = (x2 – y2)2 + (2xy)2  

For any values of x and y is the equation (x2 + y2)2 = (x2 – y2)2 + (2xy)2  is true

a rotation about point l

step-by-step explanation:

quizlet

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -