How do you factorise x^2 - 4?

x^2 - 4 consider that in any quadratic the two numbers which end up in the brackets at the end must add up to the middle term in x. they must also multiply to make the number at the end of the quadratic termas there is no term in just x, we can put one in of 0therefore we can consider this question as x^2 + 0x - 4.Now we need to consider which numbers add up to 0, but also multiply to make -4. These two numbers are +2 and -2now we can rewrite the equation as x^2 +2x -2x -4.Now we take out common factors so, x(x+2) - 2(x+2).Therefore we can now see x^2 - 4 = (x+2)(x-2)

ZM
Answered by Zachary M. Maths tutor

9172 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Renee buys 5 kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.


Show clearly that (3√3)^2 = 27


A linear sequence starts, a + 2b, a + 6b, a + 10b …….. …….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b


Prove the square of an odd number is always 1 more than a multiple of 4


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning