Simplify Fractions: 4x²-6x/(4x²-9)

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The discussion centers on simplifying the fraction (4x² - 6x) / (4x² - 9). A participant initially suggests canceling terms, which is incorrect as only factors can be canceled. The correct approach involves factoring the numerator and denominator before simplifying. The conversation emphasizes the importance of understanding the difference between terms and factors in algebraic expressions. Proper simplification methods are crucial for solving higher-level math problems accurately.
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Homework Statement



Simplify fully the following equation

Homework Equations



\frac{4x^{2}-6x}{4x^{2}-9}


The Attempt at a Solution



the 4x² cancel each other out and 3 goes into 6 and 9
so the answer is
\frac{-2x}{-3}

but that seems to easy for the penultinate question on a higher GCSE paper.
 
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Sorry, but where are you getting the 4x^2 from?
 
Sorry, I missed it out in the equatio above... I've edited it in now

Thanks
 
You can't cancel out the 4x^2 like that! That's an illegal move.
 
Last edited:
You can only cancel out factors! never terms!

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