Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you factor $x^{10} - y^{2}$ $x^10 - y^2$ ?

1 Answer

Jun 4, 2015

$x^{10} - y^{2} = {(x^{5})}^{2} - y^{2}$ $x^10 - y^2 = (x^5)^2 -y^2$

and therefore is the difference of squares with factors
$XXXX$ $color(white)("XXXX")$ $= (x^{5} - y) (x^{5} + y)$ $=(x^5-y)(x^5+y)$

Related questions

See all questions in Factoring Completely

Impact of this question

3068 views around the world

You can reuse this answer
Creative Commons License