Simplify fully the expression ( 7x^2 + 14x ) / ( 2x + 4 )

The first thing we try to do is factorise the numerator and denominator. Let's start with the numerator. We can take a 7 out of the bracket to leave us with 7( x2 + 2x ) on the numerator. But we're not done! We can also take out an x to give us 7x( x + 2 ). We now try to factorise the denominator. The only thing we can factorise is a 2 so we're left with 2( x + 2 ).Altogether we now have 7x( x + 2 ) / 2( x + 2 ). We can see that both the numerator and denominator have a common factor of ( x + 2 ) and so they cancel. This gives us our final answer of 7x / 2.

CB
Answered by Ciaran B. Further Mathematics tutor

2053 Views

See similar Further Mathematics GCSE tutors

Related Further Mathematics GCSE answers

All answers ▸

Find the coordinates of the stationary points on the curve y=x^5 -15x^3


Expand (2x+3)^4


A curve has equation: y = x^3 - 3x^2 + 5. Show that the curve has a minimum point when x = 2.


f(x) = 2x^3+6x^2-18x+1. For which values of x is f(x) an increasing function?


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