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factorise
[tex] \frac{x^{2} - 5x + 6}{x^{2} - 7x + 12} [/tex]


Sagot :

Answer:

[tex]\frac{x-2}{x-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-5x+6}{x^2-7x+12}[/tex] ← factorise numerator and denominator

= [tex]\frac{(x-2)(x-3)}{(x-4)(x-3)}[/tex] ← cancel (x - 3) on numerator/ denominator

= [tex]\frac{x-2}{x-4}[/tex]