The investigators research aim to explores the optimal comprehensive treatment for TNBC and her2 positive breast cancer by comparing the efficacy of neoadjuvant with that of adjuvant treatment in improvement of RFS.

Neoadjuvant Chemotherapy (NCT) is a standard treatment of patients who hope breast-conserving therapy (BCT) with locally advanced inoperable breast cancer or large tumor size. it is beneficial to degrading the tumor stage, increasing the rate of surgical resection or the BCT.People who are pathological complete response (pCR) after NCT have an improvement in disease-free survival (DFS) and overall survival (OS), as well as better prognosis. Currently, breast cancer are entering into the era of molecular classification. Different molecular subtype of breast cancer showed a significant difference in prognosis; triple negative breast cancer (TNBC) and Her2 positive breast cancer are clinically relevant terms referring to a specific subtype of breast cancer with high malignant characteristics, early recurrence and metastasis, but sensitive to primary chemotherapy, proportion of which are 15% and 20% respectively. A meta analysis shows that TNBC and her2 positive breast cancer have a higher pCR than Luminal A/B, and the increasing in pCR rate means improvement in survival.

The investigators previous study indicates that paclitaxel plus carboplatin with or without trastuzumab can improve pCR and prolong RFS in TNBC and her2 positive breast cancer Comparing to adjuvant chemotherapy.

The investigators research aim to explores the optimal comprehensive treatment for TNBC and her2 positive breast cancer by comparing the efficacy of neoadjuvant with that of adjuvant treatment in improvement of RFS.

Inclusion Criteria:

1. Invasive breast cancer confirmed by pathology evaluation of core biopsy
2. Tumors must be ER/PgR status negative (immunohistochemistry（IHC） < 10%) and lack of HER2/neu overexpression or amplification as measured by local hospital pathology laboratory (IHC +/- fluorescence in situ hybridization (FISH) and IHC < 3+, and FISH < 2.2) as described in the NCCN Guidelines
3. Female between18 to 70 years of age, Eastern Cooperative Oncology Group(ECOG) Performance Status 0 or 1
4. Early-stage TNBC or HER2 positive breast cancer according to the American Joint Committee on Cancer (AJCC) Staging Manual Clinical Stage IIA or IIB, Stage IIIA operable breast cancer
5. Previously untreated
6. Adequate hematologic function (absolute neutrophil count ≥ 1,500 cells/µL; hemoglobin > 9 g/dL, platelets > 100,000/µL.)
7. Adequate hepatic function: total bilirubin ≤ upper limit of normal (ULN), serum albumin ≥≥ 3.0 g/dL, alanine aminotransferase and aspartate aminotransferase ≤ 1.5 x ULN.

Exclusion Criteria:

1. ICH:ER/PgR status positive
2. HER2 positive breast cancer Patients with reduced ejection fraction <50% are not eligible
3. Patients with second malignancies
4. Patients with bilateral breast cancer
5. allergic constitution