C-03-Q060mediumsingle_mcqExpress (a+2b)(3a+2c)(a+2b)(3a+2c)(a+2b)(3a+2c) as the difference of two squares:a(2a+b+c)2−(a−b+c)2(2a+b+c)^2 - (a-b+c)^2(2a+b+c)2−(a−b+c)2b(2a+b+c)2+(a−b+c)2(2a+b+c)^2 + (a-b+c)^2(2a+b+c)2+(a−b+c)2c(2a−b+c)2−(a+b−c)2(2a-b+c)^2 - (a+b-c)^2(2a−b+c)2−(a+b−c)2d(a+b+c)2−(a−b−c)2(a+b+c)^2 - (a-b-c)^2(a+b+c)2−(a−b−c)2ব্যাখ্যাUsing pq=(p+q2)2−(p−q2)2pq=\left(\frac{p+q}{2}\right)^2-\left(\frac{p-q}{2}\right)^2pq=(2p+q)2−(2p−q)2 with p=a+2b, q=3a+2cp=a+2b,\ q=3a+2cp=a+2b, q=3a+2c: p+q2=2a+b+c\frac{p+q}{2}=2a+b+c2p+q=2a+b+c and p−q2=−a+b−c\frac{p-q}{2}=-a+b-c2p−q=−a+b−c, giving (2a+b+c)2−(a−b+c)2(2a+b+c)^2-(a-b+c)^2(2a+b+c)2−(a−b+c)2.