Question

Factorise: 12x2 – 25x + 12​

Answer 1

Step-by-step explanation:

$\huge\sf\purple{Given}$

$Factorise: 12x2 – 25x + 12$

$\huge\underline\bold\fcolorbox{black}{cyan}{To Find}$

• Factorise

$\huge\color{pink}\boxed{\colorbox{Black}{Solution}}$

• ☯︎12x²-25x+12=0

• ☯︎12x²-16x-9x+12=0

• ☯︎4x(3x-4)-3(3x-4)=0

• ☯︎(4x-3)(3x-4)=0

• ☯︎4x-3=0

• ☯︎3x-4=0

• ☯︎4x=0+3

• ☯︎4x=3

• ☯︎x=3/4

• ☯︎3x=0+4

• ☯︎3x=4

• ☯︎x=4/3

➪Hence,☟︎︎︎

• ☯︎x=3/4,4/3

$\huge\sf\purple{Final Answer}$

$x=3/4,4/3$

Hope it Helps You Mate

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Answer 2

12x² - 25x + 12

= 12x² - 16x - 9x + 12
= 4x (3x - 4) - 3 (3x - 4)
= (4x - 3) (3x - 4)

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