If `2alpha` and `3beta` are the roots of the equation `x^(2) + az +b = 0`, then find the equation whose roots are `a,b`.

If alpha and beta are the roots of the equation 2x^(2)+2(a+b)x +a^(2)+b^(2)=0 , then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) .

If alpha and beta are the roots of the equation 2x^(2)+3x+2=0 , find the equation whose roots are alpha+1 and beta+1 .

If alpha and beta are the roots of the equation 3x^(2) -4x+ 1 =0 ,find the equation whose roots are (alpha^(2))/( beta) and ( beta^(2))/( alpha )

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha,beta are the roots of the equation 2x^(2)+2(a+b)x+a^(2)+b^(2)=0, then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha,beta are the roots of the equation 2x^(2)+2(a+b)x+a^(2)+b^(2)=0 then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , then find the equation whose roots are (alpha+beta)^2a n d(alpha-beta)^2