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

15169 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

1. factorise x^2 - 9 Level 6 KS3, 2. Rearrange a (q-c) = d to make q the subject


Solve 6x^2+8x-8 = 0 using factorisation.


Solve the following pair of simultaneous equations: 2y - x = 3, y + 4x = 4


Multiply and simplify the following: (x-8)^2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy