f\left(-\frac32\right) = 4\left(-\frac32 + \frac32\right)^2 = 4 \cdot 0 = 0 - Londonproperty
Understanding the Mathematical Expression: f(–3/2) = 4(–3/2 + 3/2)² = 0
Understanding the Mathematical Expression: f(–3/2) = 4(–3/2 + 3/2)² = 0
Mathematics often reveals elegant simplicity beneath seemingly complex expressions. One such example is the function evaluation:
f(–3/2) = 4(–3/2 + 3/2)² = 0
At first glance, this equation may appear puzzling, but careful analysis uncovers its underlying logic. This article explains step-by-step how and why this expression simplifies to 0, showing the power of basic algebraic operations.
Understanding the Context
The Function: Step-by-Step Breakdown
The function f(x) at x = –3/2 is defined by the formula:
f(–3/2) = 4(–3/2 + 3/2)²
Key Insights
Let’s simplify the expression inside the parentheses:
–3/2 + 3/2 = 0
This is simply the sum of a number and its inverse on the number line—thingally zero.
Evaluating the Square
🔗 Related Articles You Might Like:
📰 FPO Secret Your Love Life Holds the Shocking Truth Inside 📰 You Won’t Believe What Happens When FPO Goes Offbook 📰 FPO Fails: Hidden Secrets That Ruined Relationships Forever 📰 Is Beelzemon Real Scientists Finally Confirm The Unspeakable Threat From The Abyss 📰 Is Beetlejuice 2 Worth Your Time This Surprise Rating Will Blow Your Mind 📰 Is Beldum Evolution The Next Big Thing Heres Why Everyones Talking About Its Revolutionary Update 📰 Is Bella Hadids Nude Moment The Hottest Cultural Shock Of 2024 Find Out Why 📰 Is Bella Lynn Breaking The Internet Her Inside Story Exposes It All 📰 Is Bellabrookz The Next Big Thing Discover Whats Going Viral 📰 Is Ben Stillers Height A Secret Shockingly Tall Facts You Need To Know Now 📰 Is Benitar The Miracle Supplement Youve Been Searching For Heres Why 📰 Is Ber White The La Reve Gold Discover The Shocking Truth Behind This Trend 📰 Is Beriful The Hidden Weapon Every Beauty Guru Is Using Discover How 📰 Is Berlyn Wayans The Hidden Star Behind Todays Biggest Hits Find Out 📰 Is Bert Kreischer Worth Millions Insiders Reveal The Surprising Reality 📰 Is Betty Brant The Next Big Star Heres What You Need To Know Now 📰 Is Bflixla The Secret Streaming Platform Everyones Talking About Find Out Here 📰 Is Bia Dukka Addictive Doctors Are Stunnedheres Why You Need To Try ItFinal Thoughts
Next, we square the result:
(–3/2 + 3/2)² = 0² = 0
Since any number squared equal to zero remains zero, this directly yields:
f(–3/2) = 4 × 0 = 0
Why This Matters
This example demonstrates a foundational principle in algebra: when an expression inside parentheses evaluates to zero, squaring it results in zero—then scaling by any real number (in this case, 4) preserves this property.
In broader terms, such evaluations help identify roots of functions, test symmetry, or simplify complex expressions in calculus and engineering.
