Which expression represents \(y^4 - 36\) in simplest factored form?

A. \((y^2 + 4)(y^2 - 9)\)
B. \((y^2 + 4)(y - 3)(y + 3)\)
C. \((y^2 + 6)(y^2 - 6)\)
D. \((y^4 - 36)(y + 1)\)

y 4 − 36 = ( x 2 ) 2 − 6 2 = ( y 2 + 6 ) ( y 2 − 6 ) a 2 + b 2 = ( a + b ) ( a − b ) A n s w er : C . ( y 2 + 6 ) ( y 2 − 6 )

Answered by Lilith | 2024-06-10

The expression y 4 − 36 can be factored into ( y 2 − 6 ) ( y 2 + 6 ) . Among the given options, the correct choice is option C: ( y 2 + 6 ) ( y 2 − 6 ) . This follows the difference of squares factoring method.
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Answered by Lilith | 2024-12-17