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  • Rational expressions
  • Operations with Rational Expressions
  • Multiplying Rational Expressions

Multiplying Rational Expressions

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  • Question 1:
    1 pts
    		$$\dfrac{3}{4n} \cdot \dfrac{4n}{6n} = $$
    $\dfrac{1}{2n}$
    $\dfrac{1}{4n}$
    $\dfrac{2}{n}$
    $\dfrac{4}{n}$
  • Question 2:
    1 pts
    		$$\dfrac{51}{23} \cdot \dfrac{46n^{2}}{51}=2n^{2} $$
  • Question 3:
    1 pts
    		Multiply and simplify $$\dfrac{y^{2}}{8} \cdot \dfrac{8}{y}$$

    $y^{2}$

    $y$

    $y^{3}$

    $\dfrac{1}{y}$

  • Question 4:
    2 pts
    		Multiply and simplify $$\dfrac{x^{2}-49}{x-7} \cdot 5 $$
    $5(x-7)$
    $5(x+7)$
    $x-7$
    $x+7$
  • Question 5:
    2 pts
    		Multiply and simplify $$\dfrac{6\cdot (r+2)}{20} \cdot \dfrac{4r}{6\cdot (r+2)}$$
    $\dfrac{5}{r}$
    $\dfrac{r}{5}$
    $\dfrac{3}{r}$
    $\dfrac{r}{12}$
  • Question 6:
    2 pts
    		$$\dfrac{2\cdot (p+2)}{4} \cdot \dfrac{p-3}{2\cdot (p-3)}$$

    $\dfrac{p+2}{4}$

    $\dfrac{2}{p+4}$

    $\dfrac{4}{p+4}$

    $\dfrac{2}{p+2}$

  • Question 7:
    3 pts
    		$$\dfrac{m^{2}-n^{2}}{4m+4n}\cdot \dfrac{m+n}{m-n}$$

    $\dfrac{4}{m-n}$

    $\dfrac{4}{m+n}$

    $\dfrac{m+n}{4}$

    $\dfrac{m-n}{4}$

  • Question 8:
    3 pts
    		$$\dfrac{5t^{3}}{4t-8} \cdot \dfrac{6t-12}{10t} = \dfrac{3t^2}{4}$$
  • Question 9:
    3 pts
    		Multiply and simplify. $$\dfrac{(x+2)^{2}}{6x^{2}} \cdot \dfrac{3x}{x^{2}-4}$$

    $\dfrac{x+2}{2 (x-2)}$

    $\dfrac{x-2}{2x (x-2)}$

    $\dfrac{x+2}{2x (x-2)}$

    $\dfrac{x+2}{2x (x+2)}$

  • Question 10:
    3 pts
    		Multiply and simplify. $$ \dfrac{9v^{3}-54v^{2}}{9v^{2}+45v} \cdot \dfrac{9v^{2}+9v}{9v^{3}-54v^{2}}$$
    $\dfrac{v+1}{v+5}$
    $\dfrac{v-1}{v+5}$
    $\dfrac{v+5}{v+1}$
    $\dfrac{v+1}{v-5}$
  • Question 11:
    3 pts
    		Multiply and simplify. $$\dfrac{45x^{2}}{x-9} \cdot \dfrac{x^{2}-5x-36}{3x^{3}+12x^{2}}$$
    $13$
    $14$
    $15$
    $16$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations