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Thread: Simplifying Algebraic Expressions

  1. #1
    Newbie jedimaster700's Avatar
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    Unhappy 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
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello jedimaster700
    Quote Originally Posted by jedimaster700 View Post
    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!

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

    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
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  3. #3
    Newbie jedimaster700's Avatar
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    Hm, yes it made sense until you came to...

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

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

    Then 30d + 11hd = 41hd?
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  4. #4
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    Like terms

    Hello jedimaster700
    Quote Originally Posted by jedimaster700 View Post
    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. $\displaystyle 35h$ 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
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