Question

(x^3+1) divided by (x+1) solution​

Answer 1

Answer:(x^2-x+1)

Step-by-step explanation:

We know,

x^3+1=(x)^3+(1)^3

It is in the form of a^3+b^3

And a^3+b^3=(a+b)(a^2-ab+b^2)

=(x+1)(x^2-x+1)

Now, (x^3+1)÷(x+1)= {(x+1)(x^2-x+1)}÷(x+1)

=(x^2-x+1)

This is the answer.

Answer 2

Answer:

${x}^{2} -x +1$

Step-by-step explanation:

$\frac{ {x}^{3} + 1 }{x + 1} \\ = \frac{ {x}^{3} + {1}^{3} }{x + 1} \\ = \frac{(x + 1)( {x}^{2} - x + {1}^{2} )}{x + 1} \\ = {x}^{2} -x + 1$

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