Me. Erickson did the following problem. She noticed she made a big mistake! What mistake did Ms. Erickson make while solving the problem?

Question

Me. Erickson did the following problem. She noticed she made a big mistake! What mistake did Ms. Erickson make while solving the problem?
(6x^3+4x-10)+(-3x^2+2x+8)=3x^3+6x-3

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Eirian 4 years 2021-07-23T11:07:47+00:00 1 Answers 21 views 0

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    2021-07-23T11:09:10+00:00

    Answer:

    Her mistakes are;

    She added unlike terms 6x^{3} and -3x^{2} and gave the answer 3x^{3}

    She added -10 and 8 and gave the answer -3

    Step-by-step explanation:

    let us try to find her mistake

    We have two algebric expressions to add them

    6x^{3}+4x-10

    -3x^{2}+2x+8

    We must add the like terms

    The like terms are:

    → 4x and 2x, -10 and 8

    4x+2x=6x

    -10+8=-2

    So Let us add the expression to find her mistakes

    (6x^{3}+4x-10)+(-3x^{2}+2x+8)=6x^{3}-3x^{2}+6x-2

    The correct answer is: 6x^{3}-3x^{2}+6x-2

    By comparing our answer with her answer her mistakes are:

    1. She added unlike terms 6x^{3} and -3x^{2} and gave the answer 3x^{3}
    2. She added -10 and 8 and gave answer -3

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