This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya, Norah. Hapa kuna masuluhisho ya milinganyo hiyo. Mlinganyo wa Kwanza: a^2 + ab + b^2 + ab Step 1: Panga upya maneno yanayofanana. Kwanza, tunapanga upya maneno ili kuweka yale yanayofanana pamoja. a^2 + ab + ab + b^2 Step 2: Unganisha maneno yanayofanana. Maneno ab na ab yanaweza kuunganishwa. ab + ab = 2ab Hivyo, mlinganyo unakuwa: a^2 + 2ab + b^2 Step 3: Factor mlinganyo. Mlinganyo a^2 + 2ab + b^2 ni mfumo wa mraba kamili. (a+b)^2 Jibu la mwisho ni: (a+b)^2 Mlinganyo wa Pili: a^2 - ab - b^2 + ab Step 1: Panga upya maneno yanayofanana. Tunapanga upya maneno ili kuweka yale yanayofanana pamoja. a^2 - ab + ab - b^2 Step 2: Unganisha maneno yanayofanana. Maneno -ab na +ab yanaweza kuunganishwa. -ab + ab = 0 Hivyo, mlinganyo unakuwa: a^2 - b^2 Step 3: Factor mlinganyo. Mlinganyo a^2 - b^2 ni tofauti ya miraba miwili. (a-b)(a+b) Jibu la mwisho ni: (a-b)(a+b) Drop the next question.