$(6m+2)3–3(6m+2)2(6m-4)+3(6m+2) (6m-4)2–(6m-4)3$

Question

<math xmlns="http://www.w3.org/1998/Math/MathML">(6m+2)3–3(6m+2)2(6m-4)+3(6m+2) (6m-4)2–(6m-4)3

Satt Academy · Accepted Answer

ধরি, 6m + 2 = a এবং 6m - 4 = b∴ প্রদত্ত রাশি

=a3-3a2b+3ab2-b3 =(a-b)3={(6m+2)-(6m-4)}3 [মান বসিয়ে] ={6m+2-6m+4}3=(6)3=216 (Ans.)

${(6 m + 2)}^{3} - 3 {(6 m + 2)}^{2} (6 m - 4) + 3 (6 m + 2) {(6 m - 4)}^{2} - {(6 m - 4)}^{3}$