Question

If p+1/p=7 then find the value of p^3+1/p^3​

Answer 1

EXPLANATION.

→ p + 1/p = 7 [ Given ]

→ To find the value of = p³ + 1/p³.

→ p + 1/p = 7 ......(1)

→ cube on both sides we get,

→ ( p + 1/p )³ = (7)³

→ ( a + b)³ = a³ + 3a²b + 3ab² + b³

→ ( a + b)³ = a³ + b³ + 3ab ( a + b)

→ [ p³ + 1/p³ + 3(p)*(1/p) ( p + 1/p ) ] = 343

→ [ p³ + 1/p³ + 3 ( 7)] = 343 [ p + 1/p = 7 given ]

→ [ p³ + 1/p³ + 21 ] = 343

→ [ p³ + 1/p³ ] = 343 - 21

→ [ p³ + 1/p³ ] = 322

→ more information.

→ ( a + b)³ = a³ + b³ + 3ab ( a + b)

→ ( a - b)³ = a³ - b³ - 3ab ( a - b)

→ a³ - b³ = ( a - b) ( a² + ab + b² )

→ a³ + b³ = ( a + b) ( a² - ab + b² )

Answer 2

Answer:

322

Step-by-step explanation:

Go through this solution as posted by me.

I hope it may help you.

///Have a nice day///