Question

(a-b)^3=3√3 হলে, a^2-2ab+b^2 =কত? (ক)√3 (খ)3 (গ)9 (ঘ) 3√3​

Answer 1

Answer:

এই প্রশ্নটির উত্তর হবে (খ) 3

Step-by-step explanation:

প্রশ্ন পত্রে দেওয়া আছে যে,

$(a - b)^{3} = \sqrt[3]{3}$

$(a - b) {}^{3} = {27}^{ \frac{1}{2} } \\ or \: (a - b) = {27}^{ \frac{1}{2} \times \frac{1}{3} } \\ or \: (a - b) = {27}^{ \frac{1}{6} } \\ or {(a - b)}^{2} = {27}^{ \frac{2}{6} } \\ or \: {(a - b)}^{2} = {27}^{ \frac{1}{3} } \\ or \: {(a - b)}^{2} = 3$

এখন,

${a}^{2} - 2ab + {b}^{2} \\ = (a - b) {}^{2} \\ = 3$