Algebra Please check answers

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Could you please check these answers thanks.

Directions: Factor each polynomial. If the polynomial cannot be factored, write prime.

1. a^2-16b
Answer: (a-16)(a+16)

2. m^2+8m+16
Answer: (m+8)^2

3. 3a^2b+6ab+9ab^2
Answer: Prime

4. 2r^2+3r+1
Answer: Prime

5. z3+6z^2+9z
Answer: Prime

  • Algebra Correction -

    For #1 I meant to put (a-4)(a-4)

  • Algebra Please check answers -

    Sorry I meant (a-4)(a+4)

  • Algebra Please check answers -

    #3, I see a common factor
    3ab(a + 2 + 3b)

    #4, (2r+1)(r+1)

    #5 common factor
    z(z^2 + 6z + 9), now I see a perfect square
    = z(z+3)^2

  • Algebra Please check answers -

    1. a^2-16b
    Answer: (a-16)(a+16)

    Yes !!!

    2. m^2+8m+16
    Answer: (m+8)^2

    8 times 8 is 64, not 16
    4 times 4 is 16

    3. 3a^2b+6ab+9ab^2
    Answer: Prime

    3ab (a + 2 + 3b)

    4. 2r^2+3r+1
    Answer: Prime

    (2r+1)(r+1)

    5. z3+6z^2+9z
    Answer: Prime

    z (z^2 + 6 z + 9)
    z (z+3)(z+3)

  • Algebra Please check answers -

    neither of your corrections for #1 gives you back the original result if expanded.

    a^2-16b does not factor, unless you meant
    a^2-16b^2, then it would be (a+4b)(a-4b)

  • Algebra Please check answers -

    I did not see that b there !

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