Question

if m+n = 5 $ mn = 6, then find (m²+n²) (m³+n³)​

Answer 1

Answer:

455

Step-by-step explanation:

$m^{2} + n^{2} = (m+n)^{2} - 2mn = 5^{2} - 6*2$

$i.e. m^{2} + n^{2} = 13$

$m^{3} + n^{3} = (m+n)^{3} -3mn(m+n)\\i.e. m^{3} + n^{3} = 125 - 3*6*5 = 35$

$hence (m^{2}+n^{2})(m^{3}+n^{3}) = 455$