Evaluate 5/(x−1)+2/(x+4)

we need to have a common denominator (bottom number the same) to be able to add or subtract fractionsmultiply first fraction by (x+4) on numerator (top) and denominator (bottom)multiply second fraction by (x-1) on numerator and denominatorwe now have...(5(x+4))/((x-1)(x+4)) + (2(x-1))((x-1)(x+4))put into one fraction (5(x+4)+2(x-1))/((x-1)(x+4))expand out the brackets(5x+20+2x-2)/((x-1)(x+4))gather like terms(7x+18)/((x-1)(x+4))check whether the top line can be factorisedno common factor so cannot be factorisedthis is the final solution

CW
Answered by Claire W. Maths tutor

2262 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve x2 +2x – 4 = 0, leaving your answer in simplest surd form (4 marks, non calculator question)


Rationalising the denominator (Surds)


The perimeter of a right-angled triangle is 60cm. The lengths of its sides are in the ratio 3:4:5. Work out the area of the triangle.


How do you solve simultaneous equations?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences