The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
What is equivalent expression?
Equivalent expressions are expressions that work the same even though they look different.
According to the given question.
we have an expression [tex]w^{4} -36[/tex]
The equivalent expression of the above expression can be given by
[tex]w^{4} -36[/tex]
⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]
⇒[tex](w^{2}-6)(w^{2} +6)[/tex] (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )
Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
Thus, option D is correct.
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