<prompt> Acha mathbfa, mathbfb, mathbfc ziwe vekta kiasi kwamba mathbfa mathbfb 1 na mathbfc 2. Pata thamani ya juu yamathbfa - 2 mathbfb2 mathbfb - 2 mathbfc2 mathbfc - 2 mathbfa2.  <response>: Kupanua, tunapataanzaalignmathbfa - 2 mathbfb2 mathbfb - 2 mathbfc2 mathbfc - 2 mathbf a2 mathbfa - 2 mathbfb cdot mathbfa - 2 mathbfb mathbfb - 2 mathbfc cdot mathbfb - 2 mathbfc mathbfc - 2 mathbfa cdot mathbfc - 2 mathbfa mathbfa2 - 4 mathbfa cdot mathbfb 4 mathbfb2 mathbfb 2 - 4 mathbfb cdot mathbfc 4 mathbfc2 mathbfc2 - 4 mathbfc cdot mathbfa 4 mathbfa2 5 mathbfa2 5 mathbfb2 5 mathbfc2 - 4 mathbfa cdot mathbfb mathbfa cdot mathbfc mathbfb cdot mathbfc 5 cdot 1 5 cdot 1 5 cdot 4 - 4 mathbfa cdot mathbfb mathbfa cdot mathbfc mathbfb cdot mathbfc 30 - 4 mathbfa cdot mathbfb mathbfa cdot mathbfc mathbfb cdot mathbfc.mwishoalignSasa, mathbfa mathbfb mathbfc ge 0, hivyomathbfa mathbfb mathbfc2 ge 0.Tunaweza kupanua hii kamamathbfa2 mathbfb2 mathbfc2 2 mathbfa cdot mathbfb 2 mathbfa cdot mathbfc 2 mathbfb cdot mathbfc ge 0.Kisha 2 mathbfa cdot mathbfb mathbfa cdot mathbfc mathbfb cdot mathbfc ge -1 - 1 - 4 -6, hivyomathbfa - 2 mathbfb2 mathbfb - 2 mathbfc2 mathbfc - 2 mathbfa2 30 - 4 mathbfa cdot mathbfb mathbfa cdot mathbfc mathbfb cdot mathbfc le 42.Usawa hutokea wakati mathbfa mathbfb na mathbfc -2 mathbfa ambayo hufanya mathbfa mathbfb mathbfc mathbf0, kwa hivyo thamani kubwa zaidi inayowezekana ni 42. 