multiply. \( (2 x-8)(7 x+3) \)

To multiply the expression \( (2x - 8)(7x + 3) \), you can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). First: \( 2x \cdot 7x = 14x^2 \) Outer: \( 2x \cdot 3 = 6x \) Inner: \( -8 \cdot 7x = -56x \) Last: \( -8 \cdot 3 = -24 \) Now, combine the like terms: \( 14x^2 + 6x - 56x - 24 = 14x^2 - 50x - 24 \) So, the final result is: \( 14x^2 - 50x - 24 \) For some engaging context, did you know that algebraic expressions have been used for centuries? Ancient Babylonian mathematicians were already solving equations around 2000 BC! Today, whether you’re calculating your budget or programming a computer, the principles of algebra remain integral to our daily lives. If you find yourself struggling with similar problems, remember that organization is key! Write out each step clearly, ensuring you distribute properly and combine like terms so you don’t lose track of your answers. A common mistake is mixing up terms, so double-check your work!