Math situation

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please help me solve

Multiply and simplify type exponential notation with positive exponents

(64a^2)/(2a^2-16a+32) x (2a-8)/8a

  • Math situation -

    ( a - 4 ) ^ 2 = a ^ 2 - 2 * a * 4 + 4 ^ 2 = a ^ 2 - 8 a + 16


    2 a ^ 2 -1 6 a + 32 = 2 * [ ( a - 4 ) ]^ 2


    ( 64 a ^ 2 ) / ( 2 a ^ 2 - 16 a + 32 ) * ( 2 a - 8 ) / 8 a =

    ( 64 a ^ 2 / 8 a ) * ( 2a - 8 ) / 2 * [ ( a - 4 ) ] ^ 2 =

    8 a * ( 2 a - 8 ) / [ 2 * [ ( a - 4 ) ]^ 2 =

    [ 8 a * 2 ( a - 4 ) ] / [ 2 * [ ( a - 4 ) ]^ 2 =

    [ 8 a * 2 ( a - 4 ) / 2 ] / [ ( a - 4 ) * ( a - 4 ) ] =

    8 a / ( a - 4 )

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