Question

using the identity find the value of (97)^3​

Answer 1

$</p><p>\sf \rightarrow \quad {(97)}^{3} \\ \\ \sf \rightarrow \quad {(100 - 3)}^{3} \\ \\ \sf \quad {(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b) \\ \\ \sf \rightarrow \quad {100}^{3} - {3}^{3} - 3 \cdot 100 \cdot 3(100 - 3) \\ \\ \sf \rightarrow \quad 1000000 - 27 - 900 \cdot 97 \\ \\ \sf \rightarrow \quad 1000000 - 27 - 87300 \\ \\ \sf \rightarrow \quad 1000000 - 87327 \\ \\ \sf \rightarrow \quad 912673</p><p>$

Answer 2

Answer:

(97)^3

(100-3)^3

(a-b) ^3

a^3 - b^3 -3ab(a-b)

(100)^3 - 3^3 -3*100*3 (100-3)

1000000-27-900 (97)

999973-87300

912673

Step-by-step explanation:

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