Answer: [tex]\sf 3\dfrac{4}{31} \quad or \quad \dfrac{97}{31}[/tex]
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The given expression:
[tex]\sf \dfrac{2b + 3c^2}{4a^2 - 2b}[/tex]
Here given a = 8, b = 4, and c = 16
Inserting this values
[tex]\sf \dfrac{2(4) + 3(16)^2}{4(8)^2 - 2(4)}[/tex]
Simplify following
[tex]\sf \dfrac{8 + 3(256)}{4(64) - 8}[/tex]
Distribute inside parenthesis
[tex]\sf \dfrac{8 + 768}{256 - 8}[/tex]
Add/Subtract similar terms
[tex]\sf \dfrac{776}{248}[/tex]
Simplify following, in improper fraction
[tex]\sf \dfrac{97}{31}[/tex]
In mixed fraction, answer:
[tex]\sf 3\dfrac{4}{31}[/tex]
