Apply the distributive property to create an equivalent expression. 1/2 (2a-6b+8) =?

Question

Apply the distributive property to create an equivalent expression.
1/2 (2a-6b+8) =?

0

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    0
    2021-09-10T21:19:38+00:00

    Answer:

    a – 3b + 4

    Step-by-step explanation:

    The distributive property indicates that two or more terms present in a sum or subtraction multiplied by another quantity, is equal to the sum or subtraction of the multiplication of each of the terms of the sum or subtraction by the number.

    So,

    1/2 (2a-6b + 8) = 1/2 (2a) + 1/2 (-6b) + 1/2 (8)

    Now we multiply the factor (1/2) for each of the three terms,

    1/2 (2a) + 1/2 (-6b) + 1/2 (8) = (2/2)a + (-6/2)b + (8/2) = a – 3b + 4

    The solution is a – 3b + 4,

    So we say that 1/2(2a – 6b + 8) is equivalent to a – 3b + 4.

    0
    2021-09-10T21:20:06+00:00

    a-3b+4; half of 2a is a; half of -6b is -3b; half of 8 is 4

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