What is [tex]y^4 - 36[/tex] in simplest factored form?
Answer (2)
y 4 − 36 = ( y 2 ) 2 − 6 2 = ( y 2 − 6 ) ( y 2 + 6 ) = [ y 2 − ( 6 ) 2 ] ( y 2 + 6 ) = ( y − 6 ) ( y + 6 ) ( y 2 + 6 ) a 2 − b 2 = ( a − b ) ( a + b )
The expression y 4 − 36 can be factored as ( y − 6 ) ( y + 6 ) ( y 2 + 6 ) using the difference of squares method. Initially, it is recognized as a difference of squares and is broken down step by step. Ultimately, we arrive at the simplest factored form.
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