Question

if a+b =15 and a^2 +b^2 =113,then find the value of a^3+b^3​

Answer 1

Step-by-step explanation:

Formula,

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca

⇒(a+b+c)2=a2+b2+c2+2(ab+bc+ca)

Given,

ab+bc+ca=10,a2+b2+c2=16

⇒(a+b+c)2=16+2(10)

a+b+c=16+20=6

Answer 2

Step-by-step explanation:

Formula,

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

⇒(a+b+c)

2

=a

2

+b

2

+c

2

+2(ab+bc+ca)

Given,

ab+bc+ca=10,a

2

+b

2

+c

2

=16

⇒(a+b+c)

2

=16+2(10)

a+b+c=

16+20

=6