Which expression is equivalent to [tex]x^4 - y^4[/tex]?

x 4 − y 4 = ( x 2 ) 2 − ( y 2 ) 2 = ( x 2 − y 2 ) ( x 2 + y 2 ) = ( x − y ) ( x + y ) ( x 2 + y 2 )

Answered by kate200468 | 2024-06-10

x 4 − y 4 = ( x 2 ) 2 − ( y 2 ) 2 = ( x 2 − y 2 ) ( x 2 + y 2 ) = ( x − y ) ( x + y ) ( x 2 + y 2 ) a 2 − b 2 = ( a − b ) ( a + b )

Answered by Anonymous | 2024-06-25

The expression x 4 − y 4 can be factored into ( x − y ) ( x + y ) ( x 2 + y 2 ) using the difference of squares method. First, it is expressed as the difference between two squares and then factored further. Thus, the final equivalent expression is obtained through successive factorizations.
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Answered by kate200468 | 2024-11-14