Expand and simplify (3x+2) (x-5)

We expand this term by term.

To make sure we expand every term, I use the beak method. To do this, draw 2 curves over the equation from the 3x to the x, and then a second curve from the x to the +2.

Then draw 2 more curves, this time under the equation, from the 3x to the -5, and the second from the -5 to the +2.

You will notice the lines make an outline of a beak.

Now we are ready to multiply all of the lines.

3x * x = 3x2

x * 2 = 2x

3x * -5  = -15x

5 * 2 = -10

Now we simply add all of these calculated terms together:


We can do one step of simplification as there are two x terms:


This now gives us the final answer:


Dominic S. GCSE Maths tutor, 13 plus  Maths tutor, A Level Maths tuto...

10 months ago

Answered by Dominic, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£18 /hr

Samradnyee K.

Degree: Biomedical Engineering (Bachelors) - Kings, London University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“Hi, I am a Biomedical Engineering student at King’s College London. Mathematics and Physics have always been my passion and I hope to pass on my love for the subjects to you through engaging and interactive sessions specially catered ...”

MyTutor guarantee

£18 /hr

William D.

Degree: Mechanical Engineering (Masters) - Leeds University

Subjects offered:Maths, Physics+ 2 more


“I am a British student currently in the first year of a masters degree in Mechanical Engineering at the University of Leeds. Having previously lived in Spain and Italy, I am fluent in both languages and have excellent communications s...”

Robin B. GCSE Maths tutor, GCSE Biology tutor, A Level Biology tutor,...
£18 /hr

Robin B.

Degree: Medicine (Bachelors) - Oxford, Merton College University

Subjects offered:Maths, Science+ 6 more

.BMAT (BioMedical Admissions)
-Oxbridge Preparation-
-Medical School Preparation-

“About me  Hello! My name is Robin and I'm a 3rd year Medical Student at Oxford University. I have loads of experience working with, supporting and motivating young people of different ages. This includes being a volunteer assistant co...”

About the author

£18 /hr

Dominic S.

Degree: Maths with French (Bachelors) - Southampton University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“Hello! I'm a Maths with French student at Southampton University. I love being able to help people fully grasp challenging mathematics. Maths can be a difficult thing to get your head around, but with a personal tutor you can learn mu...”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

At what points does the line y = x +1 intersect the circle x^2 + y^2 + 18x + 20y + 81 = 0.

Find Solution to x^2 + x - 2=0

Share £650 in the ratio 8:5

Find the values of x when x^2-6=x

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss