.
2x+y = 6
xy = 4
8x^3+y^3 = ?
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1
Answer:y
( 12 x 2 − 6 x y + y 2 )
Explanation:
this is a
difference of cubes
which factors in general as
x a 3 − b 3 = ( a − b ) ( a 2 + a b + b 2 )
8 x 3 = 2 x ) 3 ⇒ a = 2 x and b = 2 x − y = ( 2 x − ( 2 x − y ) ) ( ( 2 x 2 + 2 x ( 2 x − y ) + ( 2 X− y ) 2)
= y 4 x 2 + 4 x 2 − 2 x y + 4 x 2 − 4 x y + y 2 ) = y ( 12 x 2 -6 x y + 2 )
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2
Step-by-step explanation:
so open the picture above and have a nice day
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