Question

Question 4(iii)
Factorise
$x^4-(y+z{)}^4$

Answer 1

$x^4-(y+z{)}^4=(x^2{)}^2-\left[\right(y+z{)}^2{]}^2=[x^2-(y+z{)}^2\left]\right[x^2+(y+z{)}^2]=[x-(y+z\left)\right][x+(y+z\left)\right][x^2+(y+z{)}^2]=(x-y-z\left)\right(x+y+z\left)\right[x^2+(y+z{)}^2]$