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
Ili kupanua na kurahisisha (2x-3)^3, tutatumia fomula ya upanuzi wa binomial (a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3. Step 1: Tambua a na b katika usemi. Katika usemi (2x-3)^3, tuna a = 2x na b = 3. Step 2: Badilisha a na b kwenye fomula ya upanuzi. (2x-3)^3 = (2x)^3 - 3(2x)^2(3) + 3(2x)(3)^2 - (3)^3 Step 3: Rahisisha kila neno. (2x)^3 = 8x^3 -3(2x)^2(3) = -3(4x^2)(3) = -36x^2 3(2x)(3)^2 = 3(2x)(9) = 54x -(3)^3 = -27 Step 4: Unganisha maneno yaliyorahisishwa. (2x-3)^3 = 8x^3 - 36x^2 + 54x - 27 Kulingana na chaguzi zilizotolewa, chaguo linalofanana na jibu hili ni B. Jibu sahihi ni B. B. 8x^3 - 36x^2 + 54x - 27 Tuma swali linalofuata 📸