Topic
Q:
Divide as indicated.
\( \frac{6}{x-2}+\frac{18}{4 x-8} \)
\( \frac{6}{x-2}+\frac{18}{4 x-8}=\square \) (Simplify your answer.)
Q:
Divide as indicated.
\[ \frac{6}{x}+\frac{3}{5 x} \]
\( \frac{6}{x} \div \frac{3}{5 x}=\square \) (Simplify your answer. \( ) \)
Q:
Divide as indicated.
\[ \begin{array}{l}\frac{5}{x}+\frac{30}{x} \\ \frac{5}{x}+\frac{30}{x}=\square \text { (Simplify your answer. Type an integer or a simplified fraction.) }\end{array} \]
Q:
Divide as indicated.
\[ \frac{x}{7}+\frac{6}{5} \]
\( \frac{x}{7}+\frac{6}{5}=\square \)
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Q:
Зынеси множитель из-под знака корня
\( \sqrt{121 \cdot 11} \).
Q:
Divide as indicated.
\[ \frac{x}{8}+\frac{9}{7} \]
\( \frac{x}{8}+\frac{9}{7}=\square \)
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Q:
2. Considerar los polinomios \( P(x)=x^{3}-12 x^{2}+6 x+a \quad \) y \( \quad Q(x)=x^{2}+2 x \)
a) Hallar el valor de \( a \) sabiendo que \( x=2 \) es raíz del polinomio \( R(x) \) donde \( R(x)=P(x)+5 Q(x) \) ?
b) Considerar \( a=-12 \), hallar el dominio y el conjunto solución de la siguiente ecuación:
\[ \frac{R(x)}{x-2}+4=4 \]
Q:
Multiply as indicated.
\[ \left(y^{2}-64\right) \cdot \frac{4}{y-8} \]
\( \left(y^{2}-64\right) \cdot \frac{4}{y-8}=\square \) (Simplify your answer
Q:
Multiply as indicated.
\( \frac{8 y+10}{y^{2}-3 y} \cdot \frac{y-3}{4 y+5} \)
\( \frac{8 y+10}{y^{2}-3 y} \cdot \frac{y-3}{4 y+5}=\square \) (Simplify your answer.)
Q:
Multiply as indicated.
\( \frac{x^{2}-12 x+32}{x-8} \cdot \frac{x}{x-4} \)
\( \frac{x^{2}-12 x+32}{x-8} \cdot \frac{x}{x-4}=\square \) (Simplify your answer.)
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