Shauna says that 2×2 + x – 12 is the same as (x+4)(x-3). Is she correct? Are the two expressions equal? Explain your answer.

Question

Shauna says that 2×2 + x – 12 is the same as (x+4)(x-3). Is
she correct? Are the two expressions equal? Explain your
answer.

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RobertKer 5 years 2021-07-27T10:24:30+00:00 2 Answers 9 views 0

Answers ( )

  1. thugiang
    0
    2021-07-27T10:25:46+00:00
    Reply

    Answer:

    Shauna is incorrect, because (x + 4)(x – 3) is NOT equivalent to 2x² + x – 12

    Step-by-step explanation:

    Check if she is correct by expanding (x + 4)(x – 3), with FOIL:

    (x + 4)(x – 3)

    x² – 3x + 4x – 12

    x² + x – 12

    So, Shauna is incorrect, because the two expressions are not equal.

    (x + 4)(x – 3) is equivalent to x² + x – 12, NOT 2x² + x – 12.

  2. Nho
    0
    2021-07-27T10:25:53+00:00
    Reply

    Answer:

    1. No she’s wrong
    2. Two equations are unequal.
    3. Explained below

    Step-by-step explanation:

    \sf \rightarrowtail \: (x + 4)(x - 3) \\ \sf \rightarrowtail \: x(x - 3) + 4(x - 3) \\ \sf \rightarrowtail \: {x}^{2} - 3x + 4x - 12 \\ \sf \rightarrowtail \: {x}^{2} + x - 12 \cancel{ = } {2x}^{2} + x - 12

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