Question

What is the answer to 6x2-54x/x-9*7x/6x

Answer 1

`\large\boxed{(6x^2-54x)/(x-9)\cdot(7x)/(6x)=7x}`

Explanation:

`(6x^2-54x)/(x-9)=(6x(x-9))/(x-9)=6x\qquad\text{canceled}\ (x-9)\\\\(7x)/(6x)=(7)/(6)\qquad\text{canceled}\ x\\\\(6x^2-54x)/(x-9)\cdot(7x)/(6x)=6x\cdot(7)/(6)=7x\qquad\text{canceled 6}`