if a+b =15 and a^2 +b^2 =113,then find the value of a^3+b^3
Answers
Answered by
6
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
Answered by
6
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
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