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
Kutokana na ubora wa picha, bado ni vigumu kusoma swali kwa uhakika. Hata hivyo, kwa kuzingatia muundo wa swali la awali na vigezo vinavyoonekana, nitaendelea na dhana kwamba swali ni kurahisisha usemi ufuatao: Rahisisha (18x^2 - 2y^2)/(3x - y). Step 1: Toa kigezo cha kawaida kutoka kwa nambari (numerator). (18x^2 - 2y^2)/(3x - y) = (2(9x^2 - y^2))/(3x - y) Step 2: Tambua tofauti ya miraba katika nambari. Usemi 9x^2 - y^2 unaweza kuandikwa kama (3x)^2 - y^2. 9x^2 - y^2 = (3x)^2 - y^2 Step 3: Tumia mfumo wa tofauti ya miraba, a^2 - b^2 = (a-b)(a+b), ambapo a = 3x na b = y. (2((3x)^2 - y^2))/(3x - y) = (2(3x - y)(3x + y))/(3x - y) Step 4: Futa vigezo vya kawaida (3x - y) katika nambari na denominata (denominator). 2(3x - y)(3x + y)3x - y = 2(3x + y) Jibu la mwisho ni: 2(3x + y) That's 2 down. 3 left today — send the next one.