Question

if a+b=10 and ab =21 find the value of a^3 + b^3​

Answer 1

Answer:

370

Step-by-step explanation:

  We know, ( a + b )^3 = a^3 + b^3 + 3ab( a + b )

Here,

⇒ a + b = 10

    Cube on both sides:

⇒ ( a + b )^3 = 10^3

⇒ a^3 + b^3 + 3ab( a + b ) = 1000

    ab = 21 and a + b = 10

⇒ a^3 + b^3 + 3( 21 )( 10 ) = 1000  

⇒ a^3 + b^3 + 630 = 1000

⇒ a^3 + b^3 = 1000 - 630 = 370

Answer 2

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