Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

Question

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

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Acacia 4 years 2021-08-26T12:49:54+00:00 1 Answers 18 views 0

Answers ( )

  1. Nem
    0
    2021-08-26T12:51:48+00:00
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    Answer:

    C  None of the above

    Step-by-step explanation:

    Here are the required options

    Choose all answers that apply

    A  (5g+3h).8  

    B  (5g+3h).6  

    C  None of the above

    Given the expression;

    (5g+3h+4).2

    Expand

    (5g+3h+4).2

    = 2(5g+3h+4)

    = 2(5g) + 2(3h) + 2(4)

    = 10g+6h+8

    Checking option A;

    (5g+3h).8

    Expand

    = 8(5g+3h)

    = 8(5g) + 8(3h)

    = 40g+24h

    Checking option B:

    (5g+3h).6

    Expand

    = 6(5g+3h)

    Using the distributive law;

    = 6(5g) + 6(3h)

    = 30g+18h

    Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct

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