Question

a+b=8 , ab=6 find$a^{3}+b^{3}$​

Answer 1

◇ Question ◇

*a+b=8 , ab=6 find$a^{3}+b^{3}$

$\rule{300}2$

○ Given ○

→a+b=8

→ab=6

→$a^{3}+b^{3}=?$

★ Solution ★

$\implies a+b=10$

cubing on both side

$\implies (a+b)^{3}=8^{3} \\ \implies a^{3}+b^3+3×ab(a+b)=8^3 \\ \implies a^3+b^3+3×6×8=512 \\ \implies a^{3}+b^{3}=512-144 \\ \implies a^3+b^3=368$

$\rule{300}2$

Hence,

$\large{\bf{\fbox{\fbox{\red{a^3+b^3=368}}}}}$

Answer 2

Answer:

this is the right answers