Question

9x^2-24x+12 factorize using the identity plz

Answer 1

Heya!
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◾Given Equation => 9x² - 24x + 12

➡Taking 3 common ,


3 ( 3x² - 8x + 4 ) = 0

=> 3x² - 8x + 4 = 0


⭐Now we shall factorize by middle term splitting ,
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✔Sum = -8

✔Product = 12

◀Splitting Factors => -6 and -2


=> 3x² -6x -2x + 4 = 0

=> 3x ( x - 2 ) -2 ( x - 2 )

=> (3x - 2 ) ( x - 2 )

=> x = ⅔ , x = 2

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Answer 2

$\color{red}Thanks \: \: for \: \: asking \: \: this \: \: question$

$\color{green}Equation$

9x²-24x+12

Take common from this Equation

3(3x²-8x+4)=0

(3x²-8x+4)=0

(3x²-6x-2x+4)

3x(x-2)-2(x-2)

(3x-2)(x-2)

$\color{brown}Now \: \: factor \: \: of \: \: the \: Equation$

(3x-2)=0

3x=2

x=2/3

$\color{yellow}Again$

(x-2=0)

(x=2)