Question

求代数式x的三次方加x平方y加xy平方加y的三次方分之的四次方减y的四次方

Answer 1

先分解因式,后乘法.

(X^4-Y^4)/(X^3+X^2Y+XY^2+Y^3)

=(X-Y)(X+Y)(X^2+Y^2)/(X^3+X^2Y+XY^2+Y^3)

=(X-Y)(X^3+X^2Y+XY^2+Y^3)/(X^3+X^2Y+XY^2+Y^3)

=X-Y