Question

please solve the question for me

Answer 1

x-p+y-q = 8

This can be written as (x+y) - (p+q) = 8

now xp+xq+yp+yq = 16

This can be written as (x+y) * ( p+q) = 16

let (x+y) = a , (p+q) = b

Now first equation becomes a - b = 8

from the second equation, a*b = 16

b = 16/a

putting this in first eqn,

a - (16/a) = 8

${a}^{2} - 16 = 8 \times a$
${a}^{2} - 8a - 16 = 0$
solving this quadratic eqn, you'll get the value of a and b.

the final question is just
${a}^{2} + {b}^{2}$