Mathematics

Question

Simplify.

−4x2−5(x+3)+x2



A. −9x2−15

B. −3x2−5x−15

C. −23x

D. −4x2−5x−15

2 Answer

  • Hi Jordan

    -4x² - 5(x+3) + x²
    -4x² - 5x - 15 + x²
    Combine like terms
    -4x² + x² - 5x - 15
    -3x² - 5x - 15
    Answer : B

    I hope that's help !
  • Answer:

    Option B is correct.

    Simplified form of  [tex]-4x^2-5(x+3)+x^2[/tex] is, [tex]-3x^2 -5x-15[/tex]

    Step-by-step explanation:

    Given that: [tex]-4x^2-5(x+3)+x^2[/tex]                 .....[1]

    Like terms are those terms which have same variables to the same powers

    Combine like terms in [1] we have;

    [tex]-3x^2-5(x+3)[/tex]                           .....[2]

    Using distributive property: [tex]a\cdot (b+c) = a\cdot b+a\cdot c[/tex]

    Apply distributive property on [2] we have;

    [tex]-3x^2 -5x-15[/tex]

    Therefore, the simplified form of  [tex]-4x^2-5(x+3)+x^2[/tex] is, [tex]-3x^2 -5x-15[/tex]

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