Question

y^4-(x-y)4 factorise​

Answer 1

Step-by-step explanation:

Use this formula: a^2 - b^2 = (a + b)(a - b), called difference of squares

x^4 - (x - y)^4

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

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

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

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

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