Question

Obtain factor of x⁴ - (y + z) ⁴​

Answer 1

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

We need to use,

${a}^{2} - {b}^{2} = (a + b)(a - b)$

So, we would get

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