Question

If a+b=11 and ab=7 then find the value of a³+b³​

Answer 1

$\tt {\underline{ \underline{ \purple{✠Answer:-}}}}$

Formula used:

a³+b³ = (a+b)³-3ab(a+b)

Solution:

$\rm{ {a}^{3}+b^3=(a+b)^3-3ab(a+b) }$

$= \rm{( {11})^{3} - 3×7(11) }$

$= \rm{1331 - 231}$

$= \tt \red{1100}$