Question

A = 8, b = 4, and c = 16

Answer 1

`3 (4)/(31)`

Explanation:

`\frac{2(4) + 3(16) {}^(2) }{4(8) {}^(2) - 2(4) }`

`(776)/(248)`

`3 (4)/(31)`

Answer 2

Answer:
`\sf 3(4)/(31) \quad or \quad (97)/(31)`

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The given expression:

`\sf (2b + 3c^2)/(4a^2 - 2b)`

Here given a = 8, b = 4, and c = 16

Inserting this values

`\sf (2(4) + 3(16)^2)/(4(8)^2 - 2(4))`

Simplify following

`\sf (8 + 3(256))/(4(64) - 8)`

Distribute inside parenthesis

`\sf (8 + 768)/(256 - 8)`

Add/Subtract similar terms

`\sf (776)/(248)`

Simplify following, in improper fraction

`\sf (97)/(31)`

In mixed fraction, answer:

`\sf 3(4)/(31)`