Question

if a+b=11 a^2+b^2=61 find a^3+b^3​

Answer 1

Step-by-step explanation:

A+b =11---(1)

a^2+b^2 =61----(2) we know

(a+b)^2= a^2+b^2+2ab

(11)^2=61+2ab [from (1) and (2)]

121-61=2ab

60=2ab

60/2=ab

30=ab

ab=30----(3)

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

= 11*(61-30)

=11*31

=341