x^2/x^2+10 * x+12/x

Question

multiply and simplify to lowest terms

Answer 1

Assuming the problem is [x²/(x²+ 10)] * [(x+2)/x]:

Since you a multiplying fractions, you can multiple top times top, bottom times bottom. That is given the fractions x/y and a/b, (x/y)*(a/b) = (xa)/(yb)

that given, [x²/(x²+ 10)] * [(x+2)/x] is the same as [x²(x+2)]/[x(x²+ 10)] .

Not much we can simplify, except for taking an x out of x² in the numerator and x in the denominator, to get

[x(x+2)] / [x²+ 10]