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

5h(7-d) + 11hd

Thanks in advance (Talking)

Printable View

- May 5th 2009, 10:17 PMjedimaster700Simplifying Algebraic Expressions
How would i simplify this expression by expanding the brackets and collecting the like terms?

5h(7-d) + 11hd

Thanks in advance (Talking) - May 5th 2009, 11:02 PMGrandad
Hello jedimaster700Welcome to Math Help Forum!

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

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

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

OK?

Grandad - May 6th 2009, 01:35 AMjedimaster700
Hm, yes it made sense until you came to...

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

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

Then 30d + 11hd = 41hd? - May 6th 2009, 09:28 AMGrandadLike terms
Hello jedimaster700In your first post, you said that the question talked about collecting 'like terms'. You obviously aren't sure what this means. $\displaystyle 35h$ and $\displaystyle 5hd$ 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