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Math Help - How do I simplify this expression?

  1. #1
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    How do I simplify this expression?

    Okay, so I need step by step on how to simplify this expression:
    (a + 2) / (a^2 + a) (a + 2) / (a^3)

    thank you in advanced.
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  2. #2
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    Quote Originally Posted by jenbones View Post
    Okay, so I need step by step on how to simplify this expression:
    (a + 2) / (a^2 + a) (a + 2) / (a^3)

    thank you in advanced.
    That is the same as \frac{a+ 2}{a^2+ 2}\frac{a^3}{a+ 2} (because, as we learned in the third grade, to divide fractions, we invert the divisor and multiply). Now, what can you cancel?
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  3. #3
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    cancel out the a + 2
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  4. #4
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    Maa'le edomim-near Jerusalem
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    answer

    \frac{(a + 2)}{(a^2 + a)}:\frac{(a + 2)}{(a^3)} = \frac{(a + 2)}{(a^2 + a)}\cdot \frac{(a^3)}{(a+2)} = \frac{(a ^3)}{(a^2+a)} = \frac{(a ^3)}{a(a+1)} = \frac{(a ^2)}{(a+1)}  \ \ \ \ \
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  5. #5
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    are you sure the answer is (a^3) / (a^2 + 2) ? I know for a fact the answer is (a^2) / (a + 1)

    Never mind, I see.
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  6. #6
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    the two brackets (a+2) will cancel out each other to give...

    (1 / (a^2 + a)) (1/(a^3)

    then if we multiply both the top line and the bottom line by a^3 then the (1/(a^3)) bit we originally have will disappear as
    a^3/a^3 is 1

    multiply (1 / (a^2 + a)) by a^3 we get (a^3)/(a^2 + a)

    this is effectively turning the divisor upside down and multiplying.

    now (a^2 + a) can be factorised into what...?
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