Question

Find a³+b³ when,

a+b = 10 and a²+b² = 58​

Answer 1

Answer:

a = 3 and b = 7

then,

3^3 = 27

7^3 = 343

so,

343 + 27 = 370

Step-by-step explanation:

Answer 2

Step-by-step explanation:

a+b=10 & a²+b²=58

(a+b)² = a²+b²+2ab

>> 10² = 58+2ab

>>2ab=100–58

= 42

>>ab=42/2

=21

(a³+b³)=a³+b³+3ab(a+b)

:. (10)³= a³+b³+3×21(10)

:. 1000=a³+b³+630

:. 1000–630=a³+b³

:. 370=a³+b³

:.a³+b³=370