Question

What is the simplified product

Answer 1

`\bold{[ \ Answer \ ]}`

`\boxed{\bold{4(3n \ + \ 2)}}`

`\bold{[ \ Explanation \ ]}`

• 
  `\bold{Simplify: \ (8)/(6n-4)\cdot \left(9n^2-4\right)}`

`\bold{--------------------}`

• 
  `\bold{Rewrite}`

`\bold{(8)/(6n-4) \ = \ (4)/(3n-2)}`

• 
  `\bold{Rewrite}`

`\bold{(4)/(3n-2)\left(9n^2-4\right)}`

• 
  `\bold{Factor \ 9n^2-4: \ \left(3n+2\right)\left(3n-2\right)}`

`\bold{9n^2-4}`

• 
  `\bold{Rewrite 9n^2-4 \ As \ \left(3n\right)^2-2^2}`

`\bold{\left(3n+2\right)\left(3n-2\right)}`

• 
  `\bold{Apply \ Difference \ Of \ Two \ Squares \ Formula: \ \left(3n\right)^2-2^2=\left(3n+2\right)\left(3n-2\right)}`

`\bold{\left(3n+2\right)\left(3n-2\right)}`

• 
  `\bold{Rewrite}`

`\bold{(4\left(3n+2\right)\left(3n-2\right))/(3n-2)}`

• 
  `\bold{Cancel \ Out \ Common \ Factor: \ 3n \ - \ 2}`

`\bold{4\left(3n+2\right)}`

`\boxed{\bold{[] \ Eclipsed \ []}}`