(B) To evaluate $(105)^{3}$,we can express $105$ as $(100 + 5)$.Using the algebraic identity $(a + b)^{3} = a^{3} + b^{3} + 3ab(a + b)$:Here,$a = 100$

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(B) To evaluate $(105)^{3}$,we can express $105$ as $(100 + 5)$.Using the algebraic identity $(a + b)^{3} = a^{3} + b^{3} + 3ab(a + b)$:Here,$a = 100$ and $b = 5$.$(100 + 5)^{3} = (100)^{3} + (5)^{3} + 3(100)(5)(100 + 5)$$= 1000000 + 125 + 1500(105)$$= 1000000 + 125 + 157500$$= 1157625$