Question

Divide (x^4 - y^4) by (x-y)Show your calculation .You can use factorisation.​

Answer 1

Answer:

4

Step-by-step explanation:

x4−y4/x−y

=

x4−y4/x−y

Answer 2

Answer:

$\boxed{x^3 + xy^2 + yx^2 + y^3}$

Step-by-step explanation:

$\frac{x^4 - y^4}{x - y}$

$= \frac{(x^2)^2 - (y^2)^2}{x - y}$

$= \frac{(x^2 - y^2)(x^2 + y^2)}{x - y}$

$= \frac{(x - y)(x + y)(x^2+y^2)}{x - y}$

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

$= x^3 + xy^2 + yx^2 + y^3$