Question

$({x}^{3} + 1) by (x + 1)$
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Answer 1

Answer:

$\frac{ {x}^{3} + 1 }{x + 1} \\ \\ = \frac{ {x}^{3} + {(1})^{3} }{x + 1} \\ \\ = \frac{(x + 1)( {x}^{2} - x + 1) }{x + 1} \\ \\ = {x}^{2} - x + 1 \\ \\ (x + 1) \: and \: (x + 1) \: gets \: cancelled \\ \\ formula \: used \\ \\ {a}^{3} + {b}^{3} \\ \\ = (a + b)( {a}^{2} - ab + {b}^{2} )$

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Answer 2

Answer:

125677+77890+68

=677+788(-67)/908

=7(78998)

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