Given:
Given that the expression is [tex]\frac{3 x^{2}+9 x}{5 x^{3}+15 x^{2}}[/tex]
We need to simplify the value and determine the undefined value.
Simplification:
Let us simplify the given expression.
Factor out the term [tex]3 x[/tex] from the expression, we get;
[tex]\frac{3 x(x+3 )}{5 x^{3}+15 x^{2}}[/tex]
Factor out the term [tex]5x^2[/tex] from the denominator of the expression, we get;
[tex]\frac{3 x(x+3)}{5 x^{2}(x+3)}[/tex]
Cancelling the common terms, we have;
[tex]\frac{3}{5 x}[/tex]
Thus, the simplified expression is [tex]\frac{3}{5 x}[/tex]
Undefined value:
The undefined value of the expression [tex]\frac{3}{5 x}[/tex] is [tex]x\neq 0[/tex]
Thus, the solution is [tex]\frac{3}{5 x}[/tex], [tex]x\neq 0[/tex]
Hence, Option B is the correct answer.
