Question

Evaluate the following using suitable Identities
a. (104)^3 try to solve full explanation​

Answer 1

Step-by-step explanation:

don't know your answers

Answer 2

Answer:

(104)³ = 1124800

Step-by-step explanation:

${\small{\tt{(104)^3}}} \\ { \small{ \tt{ = {(100 + 4)}^{3} }}} \\ { \small{ \tt{ = {(100)}^{3} + {(4)}^{3} + 3(100)(4) (100 + 4)}}} \\ { \small{ \tt{= 1000000 + 64 + 1200(104)}}} \\ { \small{ \tt{ = 1000000 + 64 + 124800}}} \\ { \small{ \frak{ = { \underline { \purple{ 1124864}}}}}}$

Identity used

• (a+b)³ = a³ + b³ + 3ab(a+b)

Other identities

• (a+b)² = a² + b² + 2ab
• (a-b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)
• (a-b)³ = a³ - b³ - 3ab(a-b)
• a³+b³ = (a+ b)(a²-ab+b²)
• a³-b³ = (a- b)(a²+ab+b²)
• a³+b³+c³-3ab = (a+b+c) (a²+b²+c²-ab-bc-ca)