tara36203
Answered

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divide: (x3-1) by (x-1 )
plz divide ....​

Sagot :

Answer:

[tex] \frac{ {x}^{3} - 1}{x - 1} \\ = \frac{ {x}^{3} - {1}^{3} }{x - 1} \\ = > but : {(x - 1)}^{3} = (x - 1)( {x}^{2} - 2x + 1) \\ \therefore \: = \frac{(x - 1)( {x}^{2} - 2x + 1) }{(x - 1)} \\ = {x}^{2} - 2x + 1 \\ = {(x - 1)}^{2} [/tex]

DarlinEsteves

[tex] \frac{ {x}^{3} - 1 }{ x- 1} \\ = \frac{ {x}^{3} - 1 }{x - 1} \\ = \frac{( {x} - 1)( {x}^{2} + x + 1) }{x - 1} \\

= {x}^{2} +x+1[/tex]

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