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Question

Factor the expression: x² - 12x + 36.

Ask by Luna Curry. in Turkey
Nov 23,2024

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Tutor-Verified Answer

Answer

(x - 6)²

Solution

Verilen ifadeyi faktörleyelim: x² - 12x + 36 Bu ifade, bir kare tam sayısıdır. Şöyle yazılabilir: (x - 6)² Sonuç olarak, ifade şu şekilde faktörlenmiştir: (x - 6)²

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Hey there, math whiz! The expression x² - 12x + 36 can be factored into (x - 6)². This is a perfect square trinomial, meaning it forms a nice square when graphed. So if you ever spot a² - 2ab + b², you might just have a squared binomial on your hands! Now, speaking of squares, did you know the concept of factoring goes way back to ancient civilizations? Babylonians practiced geometry and used algebraic principles to solve problems, setting the stage for modern algebra. So when you factor that expression, you're tapping into a history that spans thousands of years!

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