  One can analyze the hadronic decay amplitudes for $B\to PP$ decays using
flavor SU(3) symmetry in different ways, such as the algebraic and quark
diagram approaches. We derive specific relations between these two sets of
amplitudes. In the Standard Model the leading hadronic decay amplitudes depend
on only five independent parameters which can be determined using recent
experimental data on the branching ratios and CP violating asymmetries of $B\to
K \pi$ and $B \to \pi\pi$. We find, however, that the leading amplitudes
provide a best fit solution with a large $\chi^2$, which cannot therefore be
regarded as a good fit. Keeping sub-leading terms, makes it possible to have a
reasonable minimal $\chi^2$. We also find that in general the color suppressed
decay amplitude is comparable with the color allowed amplitude, contrary to
expectations.
