Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you long divide $\frac{x^{4} - y^{4}}{x - y}$ $(x^4-y^4) / (x-y)$ ?

1 Answer

May 27, 2018

$(x + y) (x^{2} + y^{2})$ $(x+y)(x^2+y^2)$

Explanation:

$x^{4} - y^{4} = (x^{2} - y^{2}) (x^{2} + y^{2}) = (x - y) (x + y) (x^{2} + y^{2})$ $x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)$

Related questions

What is long division of polynomials?
How do I find a quotient using long division of polynomials?
What are some examples of long division with polynomials?
How do I divide polynomials by using long division?
How do I use long division to simplify $\frac{2 x^{3} + 4 x^{2} - 5}{x + 3}$ $(2x^3+4x^2-5)/(x+3)$ ?
How do I use long division to simplify $\frac{x^{3} - 4 x^{2} + 2 x + 5}{x - 2}$ $(x^3-4x^2+2x+5)/(x-2)$ ?
How do I use long division to simplify $\frac{2 x^{3} - 4 x + 7 x^{2} + 7}{x^{2} + 2 x - 1}$ $(2x^3-4x+7x^2+7)/(x^2+2x-1)$ ?
How do I use long division to simplify $\frac{4 x^{3} - 2 x^{2} - 3}{2 x^{2} - 1}$ $(4x^3-2x^2-3)/(2x^2-1)$ ?
How do I use long division to simplify $\frac{3 x^{3} + 4 x + 11}{x^{2} - 3 x + 2}$ $(3x^3+4x+11)/(x^2-3x+2)$ ?
How do I use long division to simplify $\frac{12 x^{3} - 11 x^{2} + 9 x + 18}{4 x + 3}$ $(12x^3-11x^2+9x+18)/(4x+3)$ ?

See all questions in Long Division of Polynomials

Impact of this question

11482 views around the world

You can reuse this answer
Creative Commons License