How do you simplify #\frac { 6x - 3} { 2x ^ { 2} + 7x - 4} \div \frac { 15} { x ^ { 2} - 16}#?

1 Answer
michael
Aug 12, 2017

Steps shown below...

Explanation:

  1. Stay change flip
    #(6x-3)/(2x^2+7x-4) * (x^2-16)/15#
  2. Factor
    #(3(2x-1))/((2x-1)(x+4)) * ((x+4)(x-4))/15#
  3. Simplify
    #(cancel(3)cancel((2x-1)))/(cancel((2x-1))cancel((x+4))# #* (cancel((x+4))(x-4))/(cancel(15)5)#
  4. Combine
    #(x-4)/5#
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