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1 January, 09:55

Simplify:

2 (5 + w) + 3 (w + 2)

+5
Answers (2)
  1. 1 January, 13:21
    0
    5w+16
  2. 1 January, 13:53
    0
    16+5w

    Step-by-step explanation:

    2 (5 + w) + 3 (w + 2)

    5+w evaluates to 5+w

    Multiply 2 by 5+w

    we multiply 2 by each term in 5+w term by term.

    This is the distributive property of multiplication.

    Multiply 2 and 5

    1

    2 * 5 = 10

    Multiply 2 and w

    Multiply 1 and w

    The w just gets copied along.

    w

    2 * w = 2w

    2 * (5+w) evaluates to 10+2w

    w+2 evaluates to w+2

    Multiply 3 by w+2

    we multiply 3 by each term in w+2 term by term.

    This is the distributive property of multiplication.

    Multiply 3 and w

    Multiply 1 and w

    The w just gets copied along.

    w

    3 * w = 3w

    Multiply 3 and 2

    1

    3 * 2 = 6

    3 * (w+2) evaluates to 3w+6

    To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

    10 + 6 = 16

    2w + 3w = 5w

    The answer is 16+5w

    2 * (5+w) + 3 * (w+2) evaluates to 16+5w

    The final answer is

    16+5w
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