Help!! – 2.10 – (4 points) 1. Would you factor out the GCF, use the Perfect Square Trinomial pattern, or the Difference of

Question

Help!! – 2.10 – (4 points)

1. Would you factor out the GCF, use the Perfect Square Trinomial pattern, or the Difference of Squares Pattern?
4x^2 – 25
2. Show how you would use the approach you picked by factoring this binomial.

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Adalynn 1 week 2021-11-25T02:43:15+00:00 1 Answer 0

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    2021-11-25T02:44:23+00:00

    Answer:

    Approach: Difference of Squares Pattern

    4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

    Step-by-step explanation:

    The given binomial is:

    4 {x}^{2}  - 25

    We can rewrite to obtain:

     {(2x)}^{2}  -  {5}^{2}

    This is a difference of two squares, so we will factor using difference of squares pattern.

    Recall that:

     {a}^{2} -  {b}^{2}   = (a + b)(a - )

    If we let

    a = 2x

    and

    b = 5

    Then we can factor the given binomial to obtain:

     {2x}^2 -  {5}^{2}  = (2x - 5)(2x + 5)

     \therefore4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

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