please help me solve

Question

Multiply and simplify type exponential notation with positive exponents

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

Answer 1

( 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 )