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    Simplify: 6(x3−2x2+3x)−(x3+2x−3).6(x^3-2x^2+3x)-(x^3+2x-3).6(x3−2x2+3x)−(x3+2x−3).​​
    Question

    Simplify: 6(x32x2+3x)(x3+2x3).6(x^3-2x^2+3x)-(x^3+2x-3).​​

    A.

    5x312x2+16x35x^3-12x^2+16x-3​​

    B.

    5x312x2+16x+35x^3-12x^2+16x+3​​

    C.

    5x3+12x2+16x35x^3+12x^2+16x-3​​

    D.

    5x3+12x2+16x+35x^3+12x^2+16x+3​​

    Correct option is B

    Given:

    Expression to simplify:

    6(x32x2+3x)(x3+2x3)6(x^3 - 2x^2 + 3x) - (x^3 + 2x - 3)​​

    Property Used:

    Distributive Property: a(b + c) = ab + ac

    Solution:

    Expand the terms using distributive property.

    Expand 6(x32x2+3x):6(x^3 - 2x^2 + 3x):​​

    6x312x2+18x6x^3 - 12x^2 + 18x​​

    Expand  (x3+2x3):-(x^3 + 2x - 3):​​

    x32x+3-x^3 - 2x + 3​​

    Combine both terms

    The simplified expression is: 5x312x2+16x+35x^3 - 12x^2 + 16x + 3​​

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