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30 April, 02:53

Slove the equation V = (20-2x) (15-2x) (x) for V

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Answers (1)
  1. 30 April, 03:38
    0
    V = 300x + - 70x2 + 4x3

    Step-by-step explanation:

    Simplifying

    V = (20 + - 2x) (15 + - 2x) (x)

    Reorder the terms for easier multiplication:

    V = x (20 + - 2x) (15 + - 2x)

    Multiply (20 + - 2x) * (15 + - 2x)

    V = x (20 (15 + - 2x) + - 2x * (15 + - 2x))

    V = x ((15 * 20 + - 2x * 20) + - 2x * (15 + - 2x))

    V = x ((300 + - 40x) + - 2x * (15 + - 2x))

    V = x (300 + - 40x + (15 * - 2x + - 2x * - 2x))

    V = x (300 + - 40x + (-30x + 4x2))

    Combine like terms: - 40x + - 30x = - 70x

    V = x (300 + - 70x + 4x2)

    V = (300 * x + - 70x * x + 4x2 * x)

    V = (300x + - 70x2 + 4x3)

    Solving

    V = 300x + - 70x2 + 4x3

    Solving for variable 'V'.

    Move all terms containing V to the left, all other terms to the right.

    Simplifying

    V = 300x + - 70x2 + 4x3
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