Simplify the expression completely if possible.

Question

start fraction, 3, x, squared, plus, 6, x, divided by, x, squared, minus, 64, end fraction
x
2
−64
3x
2
+6x
​

Answer 1

To simplify the expression $\frac{3x^2+6x}{x^2-64}$, we can factor both the numerator and the denominator:

The numerator can be factored out common factor $3x$:

$3x(x+2)$

The denominator can be factored as a difference of squares:

$x^2-64 = (x+8)(x-8)$

Therefore, the expression can be simplified as:

$\frac{3x(x+2)}{(x+8)(x-8)}$

Note that we cannot simplify the expression any further, as there are no common factors between the numerator and the denominator.