Factorise 3a^2 - 9a

To factorise you need to identify 'factors', which are common features, between the different terms in an equation. In 3a^2 - 9a, the first term is 3a^2 and the second term is -9a. One common feature between these terms is that they both contain an 'a', and the other common feature is that they can both be divided by 3. Therefore, 3a is taken outside of the brackets. You then need to work what is left when each term is divided by 3a and this is put inside the brackets. So if you divide the first term by 3a, you are left with 'a' and if you divide the second term by 3a, you are left with -3. Therefore, the answer to the question is: 3a(a-3)

HG
Answered by Hannah G. Maths tutor

5801 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove that the difference of the square of two consecutive odd numbers is always a multiple of 8. [OCR GCSE June 2017 Paper 5]


If Q = P / (R (4 – t)), calculate the value of Q when P = 36, R = 3 and t = –2


Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work


Factorise and solve x2 - 8x + 15 = 0


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