find the values of A B C AND D of 4x^2 (2x^3+5x)= Ax^B +Cx^D

Question

find the values of A B C AND D of
4x^2 (2x^3+5x)= Ax^B +Cx^D

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Iris 1 month 2021-12-26T10:01:08+00:00 1 Answer 0 views 0

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    2021-12-26T10:03:01+00:00

    The values are A=8, B=5, C= 20 and D=3

    Explanation:

    The expression is 4x^{2} (2x^{3} +5x)=Ax^{B} +Cx^{D}

    Simplifying, we get,

    8x^{5} +20x^3=Ax^{B} +Cx^{D}

    Since, both sides of the expression are equal, we can equate the corresponding values of A, B, C and D.

    Thus, we get,

    8 x^{5}=A x^{B}A=8 and B=5

    Also, equating, 20 x^{3}=C x^{D}, we get,

    C=20 and D=3

    Thus, the values are A=8, B=5, C= 20 and D=3

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