Factorise the following: 21x(squared)-35x

The question is asking us to factorise, this means put the equation into a simplified bracket. The first step is to find the highest common factor (HCF), the HCF must be a factor of 21x2 as well as -35x. I can see that x is a common factor so lets take x out of the equation: x(21x-35). Looking back into the bracket, I can see that 7 is a factor of 21x and -35. So lets take 7 out of the bracket, this makes the equation: 7x(3x-5). I can now see that the equation has been simplified because 3 is a prime number.
We can check our answers by expanding the bracket: 7x(3x) -7x(5) = 21x2 -35x therefore our answer is correct.

AM
Answered by Annesa M. Maths tutor

4352 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand the following : (2x+3)(x-1)


How do I solve a quadratic equation?


Work out the value of x and y in the parallelogram ABCD.


Find the values of x for the equation: x^2 - 8x = 105


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:

© 2025 by IXL Learning