Question

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

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Answer 1

Step-by-step explanation:

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

Because a²-b² = (a+b)(a-b)