If x + y = 9 and xy = 23, find the value of (x3 + y3)
Answers
Answer:
ANSWER
Given, x+y+z=8,xy+yz+zx=20
Now, x
3
+y
3
+z
3
−3xyz=(x+y+z)(x
2
+y
2
+z
2
−xy−yz−zx)
Again, (x+y+z)
2
=x
2
+y
2
+z
2
+2xy+2yz+2zx
x
2
+y
2
+z
2
=(x+y+z)
2
−2(xy+yz+zx)
x
2
+y
2
+z
2
=(8)
2
−2(20)=24
x
3
+y
3
+z
3
−3xyz=(x+y+z)[x
2
+y
2
+z
2
−(xy+yz+zx)]
x
3
+y
3
+z
3
−3xyz=(8)[24−(20)]
x
3
+y
3
+z
3
−3xyz=(8)[24−(20)]=8(4)=32
Step-by-step explanation:
Shobha Deepak Singh is a producer-director who comes up with thought-provoking productions on themes drawn from Indian mythology. This year’s Krishna ballet, under the aegis of her Shriram Bharatiya Kala Kendra, brings to fore interesting concepts that have seldom been explored in Krishna leelas.
“I want the modern day viewers to look and assimilate our culture. The present generation is not ready to lap up any story given to them just because it is ancient. They demand logic and rationale rather than blind faith. I value our scriptures, our Puranas and ithihaas (history) for their underlying reality and applicability to life across generations. The Krishna who preaches the Gita to Arjuna on the battlefield is a multi-layered persona; a metaphor for intellect (budhi) as against the vacillating mind (manas-Arjun). He is an astute statesman; a philosopher par excellence and a detached sage who is the epitome of Upanishadic thought.
Obviously, he is a super power worthy of worship and adulation. It is this Krishna of Mahabharat, the ruler of Dwarka, who is forever a mentor – a timeless figure in the gamut of our culture, ” says Singh. The mythical Krishna, avers Singh, is different. “He has also been shown in this ballet with popular pastoral episodes of the mischievous child and youth who stole butter and