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What is the product of - 5x^3 + 2x - 4 and 2x^3 - 4x^2 + 6?

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Is the product of - 5x^3 + 2x - 4 and 2x^3 - 4x^2 + 6 equal to the product of 2x^3 - 4x^2 + 6 and - 5x^3 + 2x - 4? Explain your answer.

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  1. 6 May, 19:59
    0
    -10x⁶+20x⁵+4x⁴-46x³+16x²+12x-24

    Step-by-step explanation:

    (-5x³ + 2x - 4) (2x³ - 4x² + 6)

    = - 10x⁶ + 4x⁴ - 8x³ + 20x⁵ - 8x³ + 16x² - 30x³ + 12x - 24

    = - 10x⁶+20x⁵+4x⁴-46x³+16x²+12x-24

    (-5x³ + 2x - 4) (2x³ - 4x² + 6)

    Is same as

    (2x³ - 4x² + 6) (-5x³ + 2x - 4)

    Because multiplication is commutative.

    a*b = b*a
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