Question

find the value of (997)³using suitable identities​

Answer 1

Hey Pretty Stranger!

Here, We've to find the value of (997)³ using suitable identity

We use identity to sort it out easily as Multiplication is actually tough -,-

We can write 997 as :

$\bigstar \: \sf \:( {1000 - 3})^{3}$

Using the identity :

★ (a - b)³ = a³ - b³ - 3ab(a - b)

→ (1000)³ - (3)³ - 3(1000)(3)[(1000 - 3)]

→ 1000000000 - 27 - 9000(997)

→ 1000000000 - 27 - 8973000

→ 100000000 - 8973027

→ 991026973