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18 December, 23:35

Find the value of w if the expression wx (3y² + 6y - 2) simplifies to the expression 6xy² + 12xy - 4x.

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  1. 19 December, 00:09
    0
    w = 2

    Step-by-step explanation:

    Distribute the expression and compare like terms with the simplified version.

    Given

    wx (3y² + 6y - 2) ← distribute parenthesis

    = 3wxy² + 6wxy - 2wx

    Compare coefficients of like terms with

    6xy² + 12xy - 4x

    Compare xy² term, then

    3w = 6 (divide both sides by 3)

    w = 2

    Compare xy term, then

    6w = 12 (divide both sides by 6)

    w = 2

    Compare x term, then

    - 2w = - 4 (divide both sides by - 2)

    w = 2

    Hence the required value of w is 2
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