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:

3x2+2x-15x-10

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

2x-15x=-13x

This now gives us the final answer:

3x2-13x-10

Answered by Dominic S. Maths tutor

16142 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Show that ((√ 18 + √ 2)^2)/(√8 - 2) can be written in the form a(b + 2) where a and b are integers.


We have 2 spinners: spinner A and spinner B. Spinner A can land on 2, 3, 5 or 7. Spinner B can land on 2, 3, 4, 5 or 6. Spin both. Win if one spinner lands on odd and the other lands on even. Play game twice, what is the probability of winning both games?


Draw the line X+Y=3 on the graph from x = -3 to x = 3


How do I find the coordinates of the turning point of the graph: y=3x^2-6x+7 ?


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