# Algebra- Expanding and simplifying equations

## Expanding and Simplifying Algebraic Equations

**Here we are going to take a look at how to expand and simplify Algebraic Equations;**

## Example 1

**When multiplying out two brackets make sure that each term in the second bracket is multiplied by each term in the first bracket.**

**See examples below, I've colour coded the steps of the equations to make them simpler to understand.**

**An easy way to multiply out two brackets is to use the grid method shown below;**

**Grid method for (x + 3) ( x + 4)**

## Example 2

**Again multiply all the terms in the second bracket by the terms in the first bracket**

**The grid method for (2x - 4) (x - 5)**

## Example 3

**Again we'll multiply all the terms in the second bracket by the terms in the first bracket;**

**In this equation (4x ^{2 }- 3) ( 3x + 1)**

** as there are no like terms to gather we just write out the expanded expression;**

**12x ^{3} + 4x^{2} - 9x - 3**

**The grid method for (4x ^{2 }- 3) (3x + 1)**

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## Comments 18 comments

You make this seem a lot simpler !!! Thanks!

Good grief - this is soooo clear! I tutor students sometimes and there is absolutely nothing clear that I can show them when it comes to simplifying - until now. Wow! So of course I can bookmark and use this. Whew! The colors, the arrows, it all helps tremendously.

Oh, I never got around to writing about the golden ratio - but maybe I will now because it is a shape we are so familiar with - like our credit cards, and driver licenses and so much more. Glad you mentioned that.

Great to find clear math - whew!

Rated up and more.

Im learning this in school but my sums are like this

5x(x-2)?

=7x? i don't know? helllp

what do all these letters mean?!?

Wow! This helped me a lot, thanks for making it seem so simplse! :)

p^2(2p-1)

Hi T.Elia - thanks for this, I've linked to this hub from one of mine, I hope you're ok with that. If not, pls. let me know.

I need to work out 9xy(5x+6y)I have no idea what to do can you help me and fast please. Thanks

(X-3/2Y)^5 pls! expand. thank you

how do i simplify and expand 2(x+5)(x-2)

I need to find an equation that relates to 1 & 2, 2 & 8, 3 & 18, and 4 & 32

18