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Math Help - 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!

    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
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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
    MHF Contributor
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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. 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
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