Final answer:
To simplify the expression (9x²)/(18x²+90x), factor out a common factor of 9x² and cancel out the common factor to get the simplified form as 1/(2+x).
Step-by-step explanation:
To simplify the expression (9x²)/(18x²+90x), we can first factor out a common factor of 9x² from both the numerator and denominator:
(9x²)/(18x²+90x) = (9x²)/(9x²(2+x))
We can then cancel out the common factor of 9x²:
(9x²)/(9x²(2+x)) = 1/(2+x)
So, the simplified form of the expression is 1/(2+x).
To simplify the expression (9x²)/(18x²+90x), factor out a common factor of 9x² and cancel out the common factor to get the simplified form as 1/(2+x).