C-03-Q040mediumsingle_mcq(a+b)4−(a−b)4=?(a+b)^4 - (a-b)^4 = ?(a+b)4−(a−b)4=?a8ab(a2+b2)8ab(a^2+b^2)8ab(a2+b2)b4ab(a2+b2)4ab(a^2+b^2)4ab(a2+b2)c2ab(a+b)2ab(a+b)2ab(a+b)d16ab16ab16abব্যাখ্যাUsing p2−q2=(p+q)(p−q)p^2-q^2=(p+q)(p-q)p2−q2=(p+q)(p−q) with p=(a+b)2, q=(a−b)2p=(a+b)^2,\ q=(a-b)^2p=(a+b)2, q=(a−b)2: the sum is 2(a2+b2)2(a^2+b^2)2(a2+b2) and the difference is 4ab4ab4ab, so the product is 2(a2+b2)⋅4ab=8ab(a2+b2)2(a^2+b^2)\cdot 4ab=8ab(a^2+b^2)2(a2+b2)⋅4ab=8ab(a2+b2).