Mathematics grade 9

I'm so confused with the whole factorising process. Please help explain: How do we take out the highest common factors in the expressions: a)5ac+10ab-25ad b)8m-24mn c)30gh+15fg-5fh

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  1. 5 a *c + 5 a *2b + 5 a *5d

    = 5 a ( c + 2b + 5d )

    by distributive property of multiplication

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    posted by Damon
  2. 8m-24mn
    m is common and 24 = 8 * 3
    so
    8 m * 1 - 8 m * 3n
    = 8m ( 1-3n)

    30gh+15fg-5fh
    5 again and I see nothing else common to all three terms

    5 ( 6gh + 3fg - 1fh )

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    posted by Damon
  3. 5 a *c + 5 a *2b - 5 a *5d

    = 5 a ( c + 2b - 5d )

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    posted by Damon

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