Factorize : x4-y+z4

Factorize : $x^{4} - {(y + z)}^{4}$

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

x^{4} - {(y + z)}^{4} = \{{(x^{2})}^{2} - {(y + z)}^{2}\} \{{(x^{2})}^{2} + {(y + z)}^{2}\}

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

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