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Math Help - Please check my answers :) (Factoring)

  1. #1
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    Please check my answers :) (Factoring)

    Factor completely:

    1. 5k3- 40

    5(k-2)(k2 + 2k + 4)


    2. t2 - 81/169

    (t + 9/13)(t - 9/13)


    3. 12b2+ 36b + 27

    (2b+3)2


    4. b4- 16

    (b2 +4)(b+2)(b-2)

    82. (2k-7)h2 - 4 (2k-7)h-45(2k-7)

    (2k-7)(h+5)(h-9)


    Thank you
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  2. #2
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    Re: Please check my answers :) (Factoring)

    Correct except that you have lost a factor of 3 in no.3 Should be 3(2b+3)^2
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  3. #3
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    Re: Please check my answers :) (Factoring)

    Quote Originally Posted by Kibbygirl View Post
    Factor completely:

    1. 5k3- 40

    5(k-2)(k2 + 2k + 4)
    Yes, that is correct.


    2. t2 - 81/169

    (t + 9/13)(t - 9/13)
    Yes, that is correct.


    3. 12b2+ 36b + 27

    (2b+3)2
    No, that is not correct. What you have written is the same as 2(2b+ 3)= 4b+ 6 (multiplication is commutative). What I think you meant was
    (2b+ 3)2 but that is still incorrect. (2b+ 3)2= (2b)2+ 2(2b)(3)+ 32= 4b2+ 12b+ 9. Did you leave out a "3" that you factored out first? 12b2+36b+ 27= 3(4b2+ 12b2+ 9)= 3(2b+ 3)2.



    4. b4- 16

    (b2 +4)(b+2)(b-2)
    Yes, this is correct.

    82. (2k-7)h2 - 4 (2k-7)h-45(2k-7)

    (2k-7)(h+5)(h-9)
    Yes, that is correct.


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