Question: Expand the product $ (2x - 3)(x + 4) $ and simplify.

Sun, 03 May 2026 16:57:50 +0000

**Question: Expand the product $ (2x - 3)(x + 4) $ and simplify** **The algebraic equation sparking curiosity across US classrooms and community forums**
In an age where math feels both foundational and intimidating, one equation keeps quietly appearing in digital discussions: $ (2x - 3)(x + 4) $. Students, educators, and curious learners alike are increasingly encountering this expression—especially in algebra practice, online learning platforms, and study forums. Understanding how to expand and simplify it isn’t just about mastering syntax—it’s about building cognitive confidence in problem-solving. This article breaks down the process clearly, so readers gain not just an answer, but enduring math literacy. **Why expanding $ (2x - 3)(x + 4) $ matters in today’s learning landscape**
Active engagement with algebraic expressions reflects broader educational trends in the US, where mastery of core math skills supports success in STEM fields and everyday decision-making. With schools emphasizing computational fluency and students relying on digital tools for help, correctly expanding binomial expressions like $ (2x - 3)(x + 4) $ remains a frequent learning milestone. This equation, simple yet instructive, sits at the intersection of traditional teaching methods and modern learning habits—making it a relevant and timely topic for curious minds across the country. **How to expand $ (2x - 3)(x + 4) $ and simplify**
To begin, apply the distributive property—also known as FOIL—expanding each term:
First: $ 2x \cdot x = 2x^2 $
Outer: $ 2x \cdot 4 = 8x $
Inner: $ -3 \cdot x = -3x $
Last: $ -3 \cdot 4 = -12 $
Combine all terms: $ 2x^2 + 8x - 3x - 12 $
Then combine like terms: $ 2x^2 + 5x - 12 $
The simplified expression is $ 2x^2 + 5x - 12 $. This process is intuitive once foundational rules—order of operations, combining like terms—are internalized.