Simplify the expression completely if possible.
start fraction, 9, x, squared, divided by, 18, x, squared, plus, 90, x, end fraction
18x
2
+90x
9x
2
start fraction, 1, divided by, 2, plus, 5x, end fraction
To simplify the expression completely, we can divide both the numerator and denominator by the greatest common factor (GCF), which in this case is 9x^2.
Starting with the numerator:
9x^2 ÷ (9x^2) = 1
And now the denominator:
18x^2 + 90x = 9x(2x + 10)
Therefore, the simplified expression is:
1 ÷ (9x(2x + 10))
To simplify the expression, we need to divide both the numerator and the denominator by the greatest common factor (GCF) of all the terms.
First, we can factor out the GCF of the terms in the numerator, which is 9x^2. When we divide 9x^2 by 9x^2, we get 1.
In the denominator, we can factor out the GCF of the terms, which is 18x^2. When we divide 18x^2 by 18x^2, we get 1.
Therefore, the simplified expression is:
1/1, which is equivalent to just 1.