Question

factorise: x^4-y^4

plz​

Answer 1

$(x^2-y^2)(x^2+y^2)$

(x+y)(x-y)(x²+y²)

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Answer 2

Answer:

→ $( {x}^{2} + {y}^{2} )(x + y)(x - y)$

Step-by-step explanation:

Formula:

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

Applying the Formula:

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