x+y=17 and xy=25,x>y than (x3-y3)
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Answered by
0
Answer:
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Step-by-step explanation:
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Answered by
1
Answer:
We know: a³-b³=(a-b)(a²+b²+ab)
So, We need to find the value of (x-y) and (x²+y²).
Step-by-step explanation:
step-1: Find the value of (x²+y²);
x+y=17..........(given)
=>(x+y)²=289
=>x²+y²+2xy=289
=>x²+y²+2*25=289............(xy=25, given)
=>x²+y²=289-50
=>x²+y²=239
Step-2: Find the value of (x-y);
(x-y)²=x²+y²-2xy
=>(x-y)²=239-2*25
=>(x-y)²=189
=>x-y=3✓21
Final step: putting the value of (x-y) and (x²+y²)
x³-y³=(x-y)(x²+y²+xy)
x³-y³=(3✓21)(239+25)
x³-y³=(3✓21)*(264)
x³-y³=792✓21
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