Find the factor of the expression `ab + bc + ax + cx.`

Factoris the expression. 6 ab + 12 bc

IF (x-2) is a common factor of the expression x^2 + ax + b and x ^2 + cx + d then (b-d) /( c-a ) =

Factoris the expression. ax ^(3) - bx ^(2) + cx

Factorize the expressions: ax^2+bx

Factorise the expressions : x^2- ax - bx + ab .

Add the following expressions: ab + bc + ca and - bc - ca- ab

Let a, b, c be three distinct real numbers such that each of the expressions ax^+bx +c, bx^2 + cx + a and ax^2 + bx + c are positive for all x in R and let alpha=(bc +ca+ab)/(a^2+b^2+c^2) then (A)alpha 1/4 (D) alpha>1

If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d , then (b-d)/(c-a)

If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d , then (b-d)/(c-a) is equal to