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) If (x - y) = 2 and xy = 3 Find the value of x3 + y)
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answer=28 ( if it is x cube )
explanation
x-y=2
x=2+y. (1) eq
xy=3
substituting the value of x
(2+y)y=3
2y + y²= 3
rearranging the terms
y²+2y-3=0
using splitting the middle term method
y²+3y-y-3=0
y(y-1)+3(y-1)=0
(y+3)(y-1)=0
y≠ -3. y=1
-3 cannot be applicable as it is negative.
now substituting the value of y in (1) eq
x=2+y
x=2+1
x=3
using both the values
x³+y = 3³+1
= 27 +1
=28
hope it helps
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