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
Sawa, Mbari. Nimeona kazi yako. Kwanza, jibu lako la kwanza kwenye picha ni sahihi: Kwa x^2 - 25: Jibu: (x-5)(x+5) ✅ Correct Sasa, hebu tuweke usemi mwingine katika vigawo: a) Weka 3x^2 - 7x - 6 katika vigawo. Step 1: Tafuta namba mbili zinazozidisha 3 × (-6) = -18 na kujumlisha -7. Namba hizo ni -9 na 2. -9 + 2 = -7 -9 × 2 = -18 Step 2: Andika upya neno la kati na weka katika vigawo kwa kupanga. 3x^2 - 7x - 6 = 3x^2 - 9x + 2x - 6 = 3x(x - 3) + 2(x - 3) = (3x + 2)(x - 3) Jibu: (3x+2)(x-3) b) Weka x^2 - 64 katika vigawo. Step 1: Tambua kuwa huu ni tofauti ya miraba miwili (a^2 - b^2). Hapa, a^2 = x^2 a = x na b^2 = 64 b = 8. Step 2: Tumia fomula ya tofauti ya miraba miwili: a^2 - b^2 = (a-b)(a+b). x^2 - 64 = (x-8)(x+8) Jibu: (x-8)(x+8) 3 done, 2 left today. You're making progress.