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Algebra Please Check answers

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Directions: Determine whether each trinomial is a perfect square. If so, factor it.

2. 4a^2+4a+1
Answer: 2(a+1)^2

3. 9m^2+15m+25
Answer: no

4. d^2-22d+121
Answer: (d-11)^2

Directions: Determine whether each binomial is the difference of squares. If so, factor it.

5. x^2-16
Answer: (x-4)(x+4)

6. y^2-20
Answer: no

7. 16m^2-25n^2
Answer: (m+4)-(5+n)

8. 8a^2-18
Answer: (7+ab)-(7-ab)

  • Algebra Please Check answers -

    #2, no
    all you had to do is expand your answer to see that it can't be right.
    should have been (2a + 1)^2

    #7, your answer is not in factored form, it shows a subtraction, not a multiplication.

    just look at your answer!
    how can (m+4)-(5+n) possible be 16m^2-25n^2 ????

    should have been (4m+5n)(4m-5n)

    in #8, first take out a "common factor" of 2, then you should see the difference of squares

    8a^2-18
    = 2(4a^2 - 9) = 2(2a+3)(2a-3)

    again, how could your answer of
    (7+ab)-(7-ab) possibly turn into 8a^2 - 18 ??? And where did the b come from ???

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