Question

65. Factorise x^4 -(x - y)^4​

Answer 1

x^4-(x-y)^4

(x^2)^2-((x-y)^2)^2

[A^2-B^2=(A+B)(A-B)]

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

[(X-Y)^2=X^2+Y^2–2XY]

[x^2+(x-y)^2][x^2-(x^2+y^2–2xy)]

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

➪ [x^2+(x-y)^2][-y^2+2xy]