Expand and simplify (2x+4)(x+2)

In order to expand this expression, we use what is known as the FOIL method. This stands for First, Outside, Inside and Last. First, we multiply the first term in each bracket by each other. 2x multiplied by x gives us 2x2.Next, we multiply the outside terms of the brackets together. These are 2x and 2. Multiplying these gives us 4x.Then we multiply the inside terms together. 4 multiplied by x gives us 4x. After that we multiply the last terms in each bracket by each other. 4 x 2 gives us 8. The next step is to add these all together, which gives us 2x2 + 4x + 4x + 8. The final step is to simplify this equation, as this is asked of us in the question. Collecting the x's together gives us a final answer of 2x2 + 8x + 8

ED
Answered by Erin D. Maths tutor

8179 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A family go into a shop, they buy three sandwiches and two packets of crisps. It costs them £9. Another family buy five sandwiches and six packets of crisps. It costs them £19. How much does two sandwiches and five packets of crisps cost?


Simplify fully (3x^2 -8x- 3)/(2x^2-6x)


Factorising and Expanding Brackets


Prove that the multiple of an even number and an odd number is always even.


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