Electric field due to an electric dipole

The electric dipole is made up of two equal and opposite charges +q and -q coulomb seperated by a distance 2l metre as shown in the below figure
In order to calculate the electric field at a point P distance r from the centre O of the dipole. Let  E1 and E2 be the intensities of electric field at P due to +q and -q respectively, So

Then the resultant intensity at point P will be different of the two intensities because they are along the same line but in opposite directions. Thus

E=E1-E2(Since E1>E2 in direction of AP)