Question

The products of ( x4 + y4 ) ( x3 - y3)​

Answer 1

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y3" was replaced by "y^3". 3 more similar replacement(s).

STEP

1

:

y4

Simplify ——

x3

Equation at the end of step

1

:

y4

((x4) - ——) - y3

x3

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x3 as the denominator :

x4 x4 • x3

x4 = —— = ———————

1 x3

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:

x4 • x3 - (y4) x7 - y4

—————————————— = ———————

x3 x3

Equation at the end of step

2

:

(x7 - y4)

————————— - y3

x3

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x3 as the denominator :

y3 y3 • x3

y3 = —— = ———————

1 x3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x7-y4) - (y3 • x3) x7 - x3y3 - y4

——————————————————— = ——————————————

x3 x3

Trying to factor a multi variable polynomial :

3.3 Factoring x7 - x3y3 - y4

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

Factorization fails

Final result :

x7 - x3y3 - y4

——————————————

x3

Answer 2

Answer:

= ( x^4 + y^4 ) ( x^3 - y^3 )

= x^7 - x^4y^3 + x^3y^4 - y^7

= x^7 - y^7 + xy

Step-by-step explanation:

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