simplify (2q+4)/(p(p+1)) -q/p

times the whole equation by the denominator of the left fraction giving p(2q+4)(p+1) - (qp(p+1))/p

notice that p can be cancelled in the right fraction, and then times out to give

2qp^2 + 4p + 4p^2 + 2pq - qp + q

This can be factorised in this way

p(2p(q+4)+(q+4))+q

and then further

p(q+4)(2p+1)+q

Answered by Madeleine B. Maths tutor

2718 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically: 6x + y = 16, 5x - 2y = 19


A* grade question: ((2x+3)/(x-4))-((2x-8)/(2x+1))=1 solve for X


In a group of 120 people, 85 have black hair, 78 have brown eyes and 20 have neither black hair nor brown eyes. Find the probability of a random person being picked having black hair, given they have brown eyes


Factorise x^2 -7x+10, and hence solve x^2-7x+10=0


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