Write x^2 + 4x - 16 in the form (x+a)^2-b

Concentrate on the x^2+4x. Halve the 4 or any number that occupies that space. Equals 2 in this case. Put (x+2)^2 and that is your first term. Expand the brackets= x^2 + 4x + 4. Don't want the extra + 4 as that just results from the expansion of brackets, so minus the 4. Go back to the original equation (x^2 + 4x - 16) and there is a -16 on the end. Can put it all together into: (x^2 + 4x + 4) -4 - 16= (x^2 + 4x + 4)- 20. Final answer= (x+2)^2-20.

Answered by Lucy B. Maths tutor

8104 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Max invests £2000 and gets 2.5% compound interest per year. Jade invests £1600 and gets 3.5% compound interest per year. Work out who will get the most interest by the end of 3 years.


Put the following in order of size, smallest first: 8/sqrt3, sqrt6*sqrt2, sqrt48-sqrt27


Make a the subject of a+3=(2a+7)/r


If s=ut + 1/2 at^2 , a) make a the subject of the expression b) make u the subject of the expression c) if s=10, t=2 and u=4 find the value of a


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