check whether b={x/x€r;x³=512,9x=625}
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Step-by-step explanation:
We know the identity a
3
−b
3
=(a−b)(a
2
+b
2
+ab)
Using the above identity, the equation x
3
−512 can be factorised as follows:
x
3
−512=(x)
3
−(8)
3
=(x−8)[(x)
2
+(8)
2
+(x×8)]=(x−8)(x
2
+64+8x)
Hence, x
3
−512=(x−8)(x
2
+64+8x)
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