Simplify Algebraic Fraction by Factorising Quadratics

Factorise quadratic expressions to simplify an algebraic fraction.
Exam question: OCR GCSE Higher
#math

[sophieh]

what happens to the 9? becasue if you mulitply the brackets (2x-1)(x-4) you dont get 9, im confused

[nosir]

What if I cancel everything and the final answer is a factorised quadratic, however, there is no common bracket at the top and bottom? Do I leave them in the brackets form?

[hasdrubal]

Thank you, helped me help my 15 yr old 🇮🇪

[qeczx]

1:40 1 and 4 dont multiply to give a resuly of 9?

[tricky.e]

Thanks this was helpful and cleared what i was confused about.

[mouthiknaradas]

2x²-9x+4/ x²-2x-8 = (2x-1)(x-4)/(x-4)(x+2)= 2x-1/x+2

[ArbaazUsman]

I think I understand is it always expanding it and then simply filing I think