DanielleDL
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Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8) 16(x2 + 2)(x2 – 2) 4(4x4 – 8)

Verified Answer :

texaschic101

16x^4 - 64

equivalent expressions are :
16x^4 + 16x - 16x - 64
(4x^2 + 8)(4x^2 - 8)
16(x^2 + 2)(x^2 - 2)

The given expression is \(16x^{4}-64.\)

It can be written as \(16x^{4}+16x-16x-64.\)[ we can add or subtract the same thing]

The expression can be factored as difference of two squares

\(16x^{4}-64=[4x]^{2}-(8)^{2}=(4x^{2}+8)(4x^{2}-8)\)

The common factor of the two terms is 16

WE can take 16 as common factor:\(16x^{4}-64=16[x^{2}-2^{2}]\)

=\(16(x^{2}+2)(x^{2}-2)\)

Options  1 ,3,4 are the equivalent expressions.


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