Question

Choose the correct simplification of (6x − 5)(2×2 − 3x − 6). 12×3 28×2 21x 30 12×3 − 28×2 − 21x 30 12×3 28×2 − 21x 30 12×3 − 28×2 − 21x − 30

Answers

  1. The simplification of the expression (6x – 5)(2x^2 – 3x -6) is 12x^3 – 28x^2 – 21x + 30.
    According to the given question.
    We have an expression
    (6x – 5)(2x^2 – 3x -6)
    To simplify the above expression we will use the distributive law.
    Distributive law relate the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac.
    Therefore,
    (6x – 5)(2x^2 – 3x -6)
    = 6x(2x^2 – 3x – 6) -5(2x^2 -3x – 6)    (by distributive law)
    = 12x^3 – 18x^2 – 36x – 10x^2 + 15x + 30
    = 12x^3 – 28x^2 – 21x + 30
    Hence, the simplification of the expression (6x – 5)(2x^2 – 3x -6) is 12x^3 – 28x^2 – 21x + 30.
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