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simplify the expression

(2x + 4)(7x - 1)

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To simplify the expression \((2x + 4)(7x - 1)\), we can use the distributive property (also known as the FOIL method for binomials).

  1. Distribute \(2x\) to both terms in the second binomial: \[ 2x \cdot 7x = 14x^2 \] \[ 2x \cdot (-1) = -2x \]

  2. Distribute \(4\) to both terms in the second binomial: \[ 4 \cdot 7x = 28x \] \[ 4 \cdot (-1) = -4 \]

  3. Now combine all the terms: \[ 14x^2 - 2x + 28x - 4 \]

  4. Combine the like terms \(-2x\) and \(28x\): \[ -2x + 28x = 26x \]

So the simplified expression is: \[ \boxed{14x^2 + 26x - 4} \]