Question

How do you multiply and simplify `\frac { - 8n + 4} { 11n ( n + 1) } \cdot \frac { 4n ^ { 2} } { - 10n + 5}`?

Answer 1

`color(green)((16n)/(55n+55))`

Explanation:

We can simplify the given `(-8n+4)/(11n(n+1)) * (4n^2)/(-10n+5)`
by factoring and canceling identical terms from numerators and denominators:

`color(white)("XXX")(4color(red)(cancel(""-2n+1)))/(11color(blue)(cancel(n))(n+1)) * (4n * cancelcolor(blue)(n))/(5cancelcolor(red)(""(-2n+1)))`

`color(white)("XXX")=(4 * 4n)/(11(n+1) * 5)`

`color(white)("XXX")=(16n)/(55n+55)`