Find the value of a3 + b3 +c3 – 3abc, when a + b + c = 8 and a b + b c + c a = 25.
Answers
Answered by
1
Step-by-step explanation:
First we find the value of a
2
+b
2
+c
2
a
2
+b
2
+c
2
=(a+b+c)
2
−2(ab+bc+ca)=8
2
−2×19=64−38=26
∴a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ca)=(8)(26−19)=8×7=56
Answered by
1
Step-by-step explanation:
This is an example so that u can do ur know
First we find the value of a
2
+b
2
+c
2
a
2
+b
2
+c
2
=(a+b+c)
2
−2(ab+bc+ca)=8
2
−2×19=64−38=26
∴a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ca)=(8)(26−19)=8×7=56
Hope it helps u
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