Question

Factorise7D%20" id="TexFormula1" title=" \frac{x^{2} - 5x + 6}{x^{2} - 7x + 12} " alt=" \frac{x^{2} - 5x + 6}{x^{2} - 7x + 12} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

$\frac{x-2}{x-4}$

Step-by-step explanation:

Given

$\frac{x^2-5x+6}{x^2-7x+12}$ ← factorise numerator and denominator

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

= $\frac{x-2}{x-4}$