find the value of a cube plus b cube plus c cube minus 3 ABC if a + b + C is equal to 5 and a square + b square + c square is equal to 29
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Answered by
39
Answer:
Step-by-step explanation:
Given,
a+b+c=5
a²+b²+c²=29
To find: a³+b³+c³-3abc
here,
a+b+c=5
sq. in both sides
a²+b²+c²+2ab+2bc+2ac=25
29+2ab+2bc+2ac=25
2ab+2bc+2ac=-4
ab+bc+ca=-2
now,
a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ac)
=5(29-(-2))
=155
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sana849:
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