Question

Simplify (x1/3-x-1/3)(x2/3+1+x-2/3) =1​

Answer 1

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y2" was replaced by "y^2". 3 more similar replacement(s).

STEP

1

:

y2

Simplify ——

3

Equation at the end of step

1

:

(x1) (y1) (x2) y2

(————-————)•((————+——)+1)

3 3 3 3

STEP

2

:

x2

Simplify ——

3

Equation at the end of step

2

:

(x1) (y1) x2 y2

(————-————)•((——+——)+1)

3 3 3 3

STEP

3

:

Adding fractions which have a common denominator

3.1 Adding fractions which have a common denominator

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

x2 + y2 x2 + y2

——————— = ———————

3 3

Equation at the end of step

3

:

(x1) (y1) (x2+y2)

(————-————)•(———————+1)

3 3 3

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

1 1 • 3

1 = — = —————

1 3

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 :

4.2 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:

(x2+y2) + 3 x2 + y2 + 3

——————————— = ———————————

3 3

Equation at the end of step

4

:

(x1) (y1) (x2+y2+3)

(————-————)•—————————

3 3 3

STEP

5

:

y

Simplify —

3

Equation at the end of step

5

:

(x1) y (x2 + y2 + 3)

(———— - —) • —————————————

3 3 3

STEP

6

:

x

Simplify —

3

Equation at the end of step

6

:

x y (x2 + y2 + 3)

(— - —) • —————————————

3 3 3

STEP

7

:

Adding fractions which have a common denominator

7.1 Adding fractions which have a common denominator

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

x - (y) x - y

——————— = —————

3 3

Equation at the end of step

7

:

(x - y) (x2 + y2 + 3)

——————— • —————————————

3 3

STEP

8

:

Trying to factor a multi variable polynomial

8.1 Factoring x2 + y2 + 3

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

(x - y) • (x2 + y2 + 3)

———————————————————————

9

Answer 2

Answer:

Here is your answer

Step-by-step explanation:

x-1/3