Question

resolve in factors: x⁴-(x+y)⁴​

Answer 1

Answer:

x^4 - (x - y)^4

= (x^2)^2-[(x - y)^2]^2

= [x^2-(x - y)^2] [x^2 + (x −y)^2]

= [X + (x-y] [x - (x - y)] [x^2 + x^2 - 2xy + y^2]

= (x + x - y) (x − x + y)[2x^2 - 2xy + y^2]

= (2x - y) y(2x^2 - 2xy + y^2)

= y(2x - y) (2x^2 - 2xy + y^2)

Answer 2

Answer:

x⁴-(x-y)⁴

= (x²+(x+y)²}{x²-(x-y)²}

= (x²+x²+2xy+y²)(x+x-y)(x-x+y)

= (2x²+2xy+y²)(2x-y)(y)

= (2x²+2xy+y²)(2xy-y²)

hope it helps u !!