`(a x+b)^2`

Applying formula of quadratic equation, solve the following equations. (a - b) x^2 - (a + b) x + 2b = 0

(x + a) (x + b) = x^(2) + (a + b)x + ________.

(x+a) (x +b) =x ^(2) + (a+b) x +"__________."

If f(x)= (x-a)^(2) (x-b)^(2) then find f(a+b)

If f(x)=(x-a)^2(x-b)^2 , find f(a+b)

Show : ( x^(a^2)/ x^( b^2 ) )^ (1/( a+b)) times ( x^(b^2)/ x^( c^2 )) ^ ( 1/( b+c )) times ( x^(c^2)/ x^( a^2 ) )^ (1/( c+a)) = 1

If (x-a+2b)^(2)+(x-2a+b)^(2)=(a+b)^(2) , then one value of x is