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    If x=−2,y=3x=-2, y=3x=−2,y=3​, Quantity A=−x2y3A=-x^2y^3A=−x2y3​ and Quantity B=0B=0B=0​, then which of the following statements is correct with
    Question

    If x=2,y=3x=-2, y=3​, Quantity A=x2y3A=-x^2y^3​ and Quantity B=0B=0​, then which of the following statements is correct with respect to Quantities A and B?

    A.

    Quantity A is greater.

    B.

    Both Quantities A and B are equal.

    C.

    Impossible to determine.

    D.

    Quantity B is greater.

    Correct option is D

    Given:

    x = -2

    y = 3

    Quantity A:x2y3 −x^2 y^3​​

    Quantity B: 0

    Solution:
    Substitute x = -2 and y = 3 into Quantity A:

    A=(2)2(3)3=(4)(27)=108A = -(-2)^2 (3)^3 = -(4)(27) = -108​​

    Now compare Quantity A and Quantity B:

    A = -108

    B = 0

    Clearly, Quantity A is less than Quantity B.

    Answer: (Quantity B is greater.)

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