Question

Evaluate (598) power 3

Answer 1

Answer:

Step-by-step explanation:

(103)³ = (100 + 3)³

(a + b)³ = a³ + b³ + 3 x a² × b + 3 x a x b³

          = 100³ + 3 ³ + 3 ×100² × 3 + 3 × 100 × 3²

            = 100000 + 27 + 90000 + 2700

                 = 1092727

Answer 2

Answer:

1092727 is the answer.

Step-by-step explanation:

Given Problem:

$Evaluate: (598)^3$

Solution:

To Evaluate:

$Evaluate: (598)^3$

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Method:

$\implies\ (103)^3 = (100 + 3)^3$

$\implies\ (a + b)^3 = a^3 + b^3 + 3 xa^2 \times\ b + 3\: x a\: a b^3$

$\implies\ 100^3 + 3^3 + 3 \times100^2 \times 3 + 3 \times 100 \times 3^2$

$\implies\ 100000 + 27 + 90000 + 2700$

$\implies\ 1092727.................(Answer)$

Identity Used:

(a + b)³ = a³ + b³ +3ab ( a + b)

✨ Some Important Identities:✨

⇒(a - b)³ = a³ - b³ - 3ab (a - b).

⇒(a + b)³ = a³ + b³ +3ab ( a + b).

⇒(a + b)³ = a³ + b³ +3ab ( a - b).