Question

25a²+9b²+c²-30ab+6bc-10ac​

Answer 1

$(5a - 3b -c )^{2}$

Step-by-step explanation:

$Given, \: \: 25a²+9b²+c²-30ab+6bc-10ac \\ (5a)^{2} + ( - 3b)^{2} + ( - c)^{2} + 2 (5a \times - 3b) + 2( - 3b \times - c ) + 2 (5a \times - c) \\ we \: \: know \: \: \boxed{(x + y + z)^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2xz} \\ so, \: \: \: \: = > \: \: \: (5a - 3b -c )^{2}$