Question

factorise : x^4-y^4​

Answer 1

Answer:

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

Step-by-step explanation:

by using formulae

a^2 - b^2 = (a + b ) ( a - b)

[a^2]^2 - [b^2]^2 = {a^2 + b^2}{a^2 - b^2}

= [a^2 + b^2][a + b] [a - b]

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:

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