If` a^(2) +b^(2) prop ab`, then prove that (a+b) prop (a-b).

If a prop b, then

If x^2 prop a^2 then a prop

If (x+y) prop (x-y) , then prove that (ax +by) prop (px+qy) where a ,b ,p, q are non -zero variation constant.

If (x^3 -y^3) prop (x^3 +y^3) then prove that (x - y) prop ( x + y)

If a prop b and b prop c , then prove that a^3 + b^3 + c^3 prop 3abc .

If (x^(3)+y^(3) )prop (x^(3)-y^(3)) , then prove that (x+y) prop (x-y).

If a prop b^(2) , b^(3) prop c^(4) , c^(5) prop d^(6) and d^(7) prop e^(4) , then show that abcd prop e^(4)

if x prop (z)/(y^2) and z^2 prop (y) /(x) then prove that x prop (1)/(y) prop(10/(z)) .

If (x+y) prop (x-y), then prove that (x^(2)+y^(2)) prop xy .

If a prop1/b , then