How do you factor x to the power of 4 minus y to the power of 4?

Science & Mathematics by Anonymous 2018-07-05 23:03:20

Social Science

5 answers

Anonymous

[ x^2 - y^2 ] [ x^2 + y^2 ] [ x - y ] [ x + y ] [ x^2 + y^2 ]
Anonymous

Use algebra that a² - b² is equal to (a+b)(a-b) and simplify (a² )² - (b² )² using this method. Good luck.
Anonymous

Rule a^2 - b^2 = (a-b)(a+b)
Anonymous

x^4 - y^4 = (x^2 - y^2)(x^2 + y^2) = (x - y)(x + y)(x^2 + y^2)
Anonymous

x⁴ – y⁴ (x² – y²)(x² + y²) (x + y)(x – y)(x² + y²) can't factor it any further without getting into imaginary numbers (x + y)(x – y)(x + iy)(x – iy) where i = √–1