Question

if a+b=5 and ab=6, find A3 + b3​

Answer 1

Answer:

35

Step-by-step explanation:

(a+b) ² = a² + b² + 2ab

25 = a²+b²+12

25 - 12 = a²+ b²

13= a²+b²

a³+b³= (a+b)(a²+b²-ab)

= 5× 7

= 35

Answer 2

Step-by-step explanation:

a+b=5 and ab=6

• (a+b)^2=a^2+b^2 +2ab
• 25=a^2+b^2+2*6
• a^2+b^2=13

and we all know that a^3+b^3=(a+b)(a^2+B^2-ab)

=5*(13-6)

so;a^3+b^3=35

hope it helped you :)