Carboplatin and Paclitaxel Albumin-Stabilized Nanoparticle Formulation Before Surgery in Treating Patients With Locally Advanced or Inflammatory Triple Negative Breast Cancer

Inclusion Criteria: * Patients must be diagnosed with locally advanced (T2 and higher with or without lymph node involvement), and/or inflammatory triple negative breast cancer * Women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control or abstinence) prior to study entry and for six months following duration of study participation; should a woman become pregnant or suspect that she is pregnant while participating on the trial, she should inform her treating physician immediately * Tumor negative for expression of hormone receptors (\< 10%) and not over-expressing HER2 by immunohistochemistry (IHC) (0-1), or in case of IHC of 2, negative by fluorescence in situ hybridization (FISH) or by alternative gene testing * Bilirubin =\< 1.5 mg/dL * Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) =\< 2 x upper limit of normal * Alkaline phosphatase =\< 2 x upper limit of normal * Platelets \>= 100,000 cells/mm\^3 * Hemoglobin \> 9.0 g/dL * Absolute neutrophil count (ANC) \>= 1,500 cells/mm\^3 * Creatinine =\< 1.5 mg/dL is recommended; however, institutional norms are acceptable * Left ventricular ejection fraction \> 50% * Women of childbearing potential and sexually active males must use an effective contraception method during treatment and for three months after completing treatment * Negative serum or urine beta-human chorionic gonadotropin (hCG) pregnancy test screening for patients of childb…