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Verified Answer :

(2x + 8)(4x + 7) = 2x(4x + 7) + 8(4x + 7) = 8x^2 + 14x + 32x + 56 =
8x^2 + 46x + 56 <==

Answer:

B. \(8x^2+46x+56\)

Step-by-step explanation:

We must multiply the elements of each parenthesis by the terms of the other parenthesis, We will have the following:

\((2x + 8)(4x + 7)=(2x)(4x)+(2x)(7)+(8)(4x)+(8)(7)\\(2x + 8)(4x + 7)=8x^2+14x+32x+56\\\)

We have two terms with x, so we add them:

\((2x + 8)(4x + 7)=8x^2+46x+56\)

So the correct answer is B.