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. Haya hapa maswali mawili ya mwisho ya kuweka katika vigawo. a) Weka 9x^2 - 12x + 4 katika vigawo. Step 1: Tambua kuwa huu ni mraba kamili wa trinomial. Usemi huu una fomu a^2x^2 - 2abx + b^2. Hapa, a^2x^2 = 9x^2 ax = 3x. Na b^2 = 4 b = 2. Step 2: Thibitisha neno la kati. Neno la kati linapaswa kuwa -2abx = -2(3x)(2) = -12x. Hii inalingana na usemi wetu. Step 3: Andika usemi katika vigawo. 9x^2 - 12x + 4 = (3x - 2)^2 Jibu: (3x-2)^2 b) Weka x^3 - 8 katika vigawo. Step 1: Tambua kuwa huu ni tofauti ya ujazo (difference of cubes). Fomula ya tofauti ya ujazo ni a^3 - b^3 = (a-b)(a^2 + ab + b^2). Hapa, a^3 = x^3 a = x. Na b^3 = 8 b = 2. Step 2: Tumia fomula ya tofauti ya ujazo. x^3 - 8 = (x - 2)(x^2 + x · 2 + 2^2) x^3 - 8 = (x - 2)(x^2 + 2x + 4) Jibu: (x-2)(x^2+2x+4) Last free one today — make it count tomorrow, or type /upgrade for unlimited.