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

Multiplying Rational Expressions

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  • Question 1:
    1 pts
    		34n⋅4n6n=\dfrac{3}{4n} \cdot \dfrac{4n}{6n} =
    12n\dfrac{1}{2n}
    14n\dfrac{1}{4n}
    2n\dfrac{2}{n}
    4n\dfrac{4}{n}
  • Question 2:
    1 pts
    		5123⋅46n251=2n2\dfrac{51}{23} \cdot \dfrac{46n^{2}}{51}=2n^{2}
  • Question 3:
    1 pts
    		Multiply and simplify y28⋅8y\dfrac{y^{2}}{8} \cdot \dfrac{8}{y}

    y2y^{2}

    yy

    y3y^{3}

    1y\dfrac{1}{y}

  • Question 4:
    2 pts
    		Multiply and simplify x2−49x−7⋅5\dfrac{x^{2}-49}{x-7} \cdot 5
    5(x−7)5(x-7)
    5(x+7)5(x+7)
    x−7x-7
    x+7x+7
  • Question 5:
    2 pts
    		Multiply and simplify 6⋅(r+2)20⋅4r6⋅(r+2)\dfrac{6\cdot (r+2)}{20} \cdot \dfrac{4r}{6\cdot (r+2)}
    5r\dfrac{5}{r}
    r5\dfrac{r}{5}
    3r\dfrac{3}{r}
    r12\dfrac{r}{12}
  • Question 6:
    2 pts
    		2⋅(p+2)4⋅p−32⋅(p−3)\dfrac{2\cdot (p+2)}{4} \cdot \dfrac{p-3}{2\cdot (p-3)}

    p+24\dfrac{p+2}{4}

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

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

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

  • Question 7:
    3 pts
    		m2−n24m+4n⋅m+nm−n\dfrac{m^{2}-n^{2}}{4m+4n}\cdot \dfrac{m+n}{m-n}

    4m−n\dfrac{4}{m-n}

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

    m+n4\dfrac{m+n}{4}

    m−n4\dfrac{m-n}{4}

  • Question 8:
    3 pts
    		5t34t−8⋅6t−1210t=3t24\dfrac{5t^{3}}{4t-8} \cdot \dfrac{6t-12}{10t} = \dfrac{3t^2}{4}
  • Question 9:
    3 pts
    		Multiply and simplify. (x+2)26x2⋅3xx2−4\dfrac{(x+2)^{2}}{6x^{2}} \cdot \dfrac{3x}{x^{2}-4}

    x+22(x−2)\dfrac{x+2}{2 (x-2)}

    x−22x(x−2)\dfrac{x-2}{2x (x-2)}

    x+22x(x−2)\dfrac{x+2}{2x (x-2)}

    x+22x(x+2)\dfrac{x+2}{2x (x+2)}

  • Question 10:
    3 pts
    		Multiply and simplify. 9v3−54v29v2+45v⋅9v2+9v9v3−54v2 \dfrac{9v^{3}-54v^{2}}{9v^{2}+45v} \cdot \dfrac{9v^{2}+9v}{9v^{3}-54v^{2}}
    v+1v+5\dfrac{v+1}{v+5}
    v−1v+5\dfrac{v-1}{v+5}
    v+5v+1\dfrac{v+5}{v+1}
    v+1v−5\dfrac{v+1}{v-5}
  • Question 11:
    3 pts
    		Multiply and simplify. 45x2x−9⋅x2−5x−363x3+12x2\dfrac{45x^{2}}{x-9} \cdot \dfrac{x^{2}-5x-36}{3x^{3}+12x^{2}}
    1313
    1414
    1515
    1616

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations