How do I factorise x^2 ​- 4?

This is similar to other factorisation problems such as x+ 5x - 6. In this problem, you would find prime factors of -6 that add up to 5 (In this case -3, -2). 
Now, do the exact same with this problem! This is the same as x+ 0x - 4, so you need to find factors of -4 that add up to 0. In this case these two primes will be -2 and 2. Using these factors, you can reach the answer: (x - 2)*(x + 2).
To check your work, multiply (x - 2)(x + 2) to get x2 + 2x - 2x - 4 = x- 4.

Answered by Lauren G. Maths tutor

46839 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the roots of the following equation x^2 + 6x + 5 = 0


66 people went on a day trip and each took part in one activity: skating, bowling or painting. 43 were female. 4 out of the 10 that went skating were male. 20 people did painting. 10 males went bowling. How many females did painting?


White paint costs £2.80 per litre and blue paint costs £3.50 per litre. White and blue paint are mixed in the ratio 3 : 2. How much does it cost to make 18 litres of this mixture?


How do you find the volume of a conical frustum?


We're here to help

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