Evaluate the following using suitable identit | vedclass

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Question

(A) To evaluate $(995)^{3}$,we can express $995$ as $(1000 - 5)$.Using the algebraic identity $(a - b)^{3} = a^{3} - b^{3} - 3ab(a - b)$:Here,$a = 100

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$985074875$

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(A) To evaluate $(995)^{3}$,we can express $995$ as $(1000 - 5)$.Using the algebraic identity $(a - b)^{3} = a^{3} - b^{3} - 3ab(a - b)$:Here,$a = 1000$ and $b = 5$.$(1000 - 5)^{3} = (1000)^{3} - (5)^{3} - 3(1000)(5)(1000 - 5)$$= 1,000,000,000 - 125 - 15000(995)$$= 1,000,000,000 - 125 - 14,925,000$$= 1,000,000,000 - 14,925,125$$= 985,074,875$.

Evaluate the following using suitable identities: $(995)^{3}$

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