Simplify (x-10)/(x^2-17x+70)*(x^2-16x+63)/(x-9)*6/(3x)

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle 70}$ and whose sum is ${\displaystyle -17}$.

Write the factored form using these integers.

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle 63}$ and whose sum is ${\displaystyle -16}$.

Write the factored form using these integers.

Cancel the common factor of ${\displaystyle x-7}$.

Multiply ${\displaystyle \frac{x-10}{x-10}}$ by ${\displaystyle \frac{x-9}{x-9}}$.

Cancel the common factor of ${\displaystyle x-10}$.

Cancel the common factor of ${\displaystyle x-9}$.

Factor ${\displaystyle 3}$ out of ${\displaystyle 6}$.

Cancel the common factors.