# Thread: Simplifying Algebraic Expressions

1. ## Simplifying Algebraic Expressions

How would i simplify this expression by expanding the brackets and collecting the like terms?

5h(7-d) + 11hd

Thanks in advance

2. Hello jedimaster700
Originally Posted by jedimaster700
How would i simplify this expression by expanding the brackets and collecting the like terms?

5h(7-d) + 11hd

Thanks in advance
Welcome to Math Help Forum!

$5h(7-d) = 5h\times 7 - 5h\times d=35h-5hd$

So $5h(7-d) + 11hd=35h - 5 hd +11hd =35h +6hd$

If you like, you can now factorise the final answer, and write $35h+6hd=h(35+6d)$

OK?

Grandad

3. Hm, yes it made sense until you came to...

35h - 5hd + 11hd = 35h + 6hd

Wouldn't 35h - 5hd = 30d?

Then 30d + 11hd = 41hd?

4. ## Like terms

Hello jedimaster700
Originally Posted by jedimaster700
Hm, yes it made sense until you came to...

35h - 5hd + 11hd = 35h + 6hd

Wouldn't 35h - 5hd = 30d?

Then 30d + 11hd = 41hd?
In your first post, you said that the question talked about collecting 'like terms'. You obviously aren't sure what this means. $35h$ and $5hd$ are not like terms, so you can't simplify them in the way you're trying to do here.

You need to find out what 'like terms' means. Here's a web-site that might help: BBC - GCSE Bitesize - Re-arranging symbols

Best of luck!

Grandad