Question

divide x^6-1 by x^3+1​

Answer 1

Answer:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x6" was replaced by "x^6".

STEP

1

:

1

Simplify —

x

Equation at the end of step

1

:

1

((x6) - —) - 1

x

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x as the denominator :

x6 x6 • x

x6 = —— = ——————

1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x6 • x - (1) x7 - 1

———————————— = ——————

x x

Equation at the end of step

2

:

(x7 - 1)

———————— - 1

x

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x as the denominator :

1 1 • x

1 = — = —————

• 1 x