Math, asked by gayathritafs, 11 months ago

If a+b=10 and ab =21, find the value of a³+b³

Answers

Answered by spidy6093

( a + b ) ( a ^ 3 - ab + b ^ 3 )

( 10 ) ( a ^ 3 - 21 + b ^ 3 )

gayathritafs: but can u explain a little bit

rickAhoma: nice played, and hey solve the rest yourself

gayathritafs: how did u get ( a + b ) ( a ^ 3 - ab + b ^ 3 )

rickAhoma: (a+b)^3 = (a+b)( a^2 -ab + b^2)

gayathritafs: actually the question is a^3+b^3 and that is not equal to (a+b)^3

rickAhoma: lol, dang it. i need clearer eyes

gayathritafs: maybe the ans could be b=3 n a=7

gayathritafs: yep thats how the ans will go

gayathritafs: thnx anyways

rickAhoma: hah, thanks for the parody

Answered by rickAhoma

${a}^{3} + {b}^{3} = {(a + b)}^{3} - 3ab(a + b) \\ = {10}^{3} - 3.21.10 \\ = 1000 - 630 \\ = 370$

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