\frac{x}{28\ +\ 4x^{2}}
To simplify the expression, we can factor out a common factor of x from the numerator and denominator. We get:
\[\frac{x}{28+4x^2} = \frac{x}{4x^2+28} = \frac{x}{4(x^2+7)}\]
So the simplified expression is \(\frac{x}{4(x^2+7)}\).
To simplify the expression, \(\frac{x}{28 + 4x^2}\), follow these steps:
Step 1: Factor out \(4x^2\) from the denominator.
\(28 + 4x^2 = 4(x^2 + 7)\)
Step 2: Rewrite the expression with the factored denominator.
\(\frac{x}{4(x^2 + 7)}\)
So, \(\frac{x}{28 + 4x^2}\) can be simplified to \(\frac{x}{4(x^2 + 7)}\).
To simplify the expression \(\frac{x}{28 + 4x^{2}}\), we can factor out the common factor in the denominator and then cancel out any common factors between the numerator and the denominator.
Step 1: Factor out the common factor in the denominator:
The denominator \(28 + 4x^2\) has a common factor of 4. Factoring out 4, we get:
\(28 + 4x^2 = 4(7 + x^2)\)
Step 2: Cancel out common factors:
Now that we have factored out the common factor, we can cancel out any common factors between the numerator and denominator. In this case, we can cancel out the \(x\) term.
\(\frac{x}{28 + 4x^2} = \frac{x}{4(7 + x^2)}\)
So, the simplified expression is \(\frac{x}{4(7 + x^2)}\).