DanielleDL
contestada

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)

Respuesta :

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 [tex]16x^{4}-64.[/tex]

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

The expression can be factored as difference of two squares

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

The common factor of the two terms is 16

WE can take 16 as common factor:[tex]16x^{4}-64=16[x^{2}-2^{2}][/tex]

=[tex]16(x^{2}+2)(x^{2}-2)[/tex]

Options  1 ,3,4 are the equivalent expressions.


Otras preguntas