Respuesta :

Answer:

[tex]p(1) - p(-1) =8[/tex]

Step-by-step explanation:

Given

[tex]p(m) = 4m^3 + 3[/tex]

Required

[tex]p(1) - p(-1)[/tex]

First, we calculate p(1)

Substitute 1 for m in [tex]p(m) = 4m^3 + 3[/tex]

[tex]p(1) = 4(1)^3 + 3[/tex]

[tex]p(1) = 4*1 + 3[/tex]

[tex]p(1) = 4 + 3[/tex]

[tex]p(1) = 7[/tex]

Next, we calculate p(-1)

Substitute -1 for m in [tex]p(m) = 4m^3 + 3[/tex]

[tex]p(-1) = 4(-1)^3 + 3[/tex]

[tex]p(-1) = 4*-1 + 3[/tex]

[tex]p(-1) = -4 + 3[/tex]

[tex]p(-1) = -1[/tex]

[tex]p(1) - p(-1)[/tex] is then calculated as:

[tex]p(1) - p(-1) = 7 - (-1)[/tex]

[tex]p(1) - p(-1) = 7+1[/tex]

[tex]p(1) - p(-1) =8[/tex]

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