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Math·Advanced Math·Equivalent expressions

hard

$y=4x^2-bx-5$

Which of the following equations is equivalent to the given equation, where $b$ is a positive constant?

A

$y=4{\left(x-\frac{b}{8}\right)}^2-5-\frac{b^2}{16}$

B

$y=4{\left(x+\frac{b}{8}\right)}^2-5$

C

$y=4{\left(x-\frac{b}{8}\right)}^2-5$

D

$y=4{\left(x+\frac{b}{8}\right)}^2-5-\frac{b^2}{16}$