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If X + Y = 212 and xy = 27 find the value of (x³+y³) ​

If X + Y = 212 and xy = 27 find the value of (x³+y³) ​
asked 214k views
4 votes
If X + Y = 212 and xy = 27 find the value of (x³+y³)
​

asked
User Sorpigal
by
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1 Answer

6 votes
X^3 + y^3 = (x + y)(x^2 - xy +’y^2)
X^2 + y^2 = (x+y)^2 - 2xy
So
X3 +y^3 = 212((212^2-2(27)-27))
= 212(46983)
= 9,960,396
answered
User Scrhartley
by
7.9k points
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