Question

(x + y)^4 - (x – y)^4,factorize it.​

Answer 1

Answer:

8xy (x²+y²)

Answer Explanation:

(x+y)⁴-(x-y)⁴

= {(x+y)²}² - {(x-y)²}²

= {(x+y)²+(x-y)²} {(x+y)²-(x-y)²}

= {(x²+2xy+y²)+(x²-2xy+y²)}{(x²+2xy+y²)-(x²-2xy+y²)}

= (x²+2xy+y²+x²-2xy+y²) (x²+2xy+y²-x²+2xy-y²)

= (2x²+2y²) (4xy)

= 2(x²+y²) (4xy)

= 2 (4xy) (x²+y²)

= 8xy (x²+y²)