Operation on Rational Algebraic Expression

Multiply

 $\frac{9c}{9c^2-1}.\ \frac{3c-1}{3c}$  

•  $\frac{3}{3c+1}$  

•  $\frac{3c}{3c-1}$  

•  $\frac{3c}{3c+1}$  

•  $\frac{3}{3c-1}$  

Tags

CCSS.HSA.APR.D.7

Multiply $\frac{\left(x^2+10x+25\right)}{\left(x+6\right)}.\ \frac{\left(x^2+12x+36\right)}{\left(x+5\right)}$  

• (x+5)(x+5)

• (x+6)(x+6)

• (X+5)(x+6)

• (x+5)(x+6)(x+5)

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.A.1

 $Divide\ \frac{5x^3}{4}\div\frac{15x}{8}$  

•  $2x^2$  

•  $\frac{2x^2}{3}$  

•  $\frac{x^3}{3}$  

•  $\frac{x^2}{6}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

 $Divide\ \frac{\left(m-2\right)}{3m}\div\frac{\left(m^2-4\right)}{6m^2}$  

•  $\frac{2m}{\left(m+2\right)}$  

•  $\frac{2m}{\left(m-2\right)}$  

•  $\frac{m}{\left(m+2\right)}$  

•  $\frac{m}{\left(m-2\right)}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

 $Find\ the\ LCD\ of\ \frac{x}{\left(x^2-9\right)}\ +\frac{2x}{\left(x^2+6x+9\right)}$  

• (x+3)(x3)(x-3)

• (x+3)(x-3)

• (x+3)(x+3)

• (x+3)(x-3)(x+2)

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

CCSS.HSA.APR.A.1

 $Add\ \frac{4y-3}{y+2}+\frac{5-3y}{y+2}$  

•  $\frac{y-2}{y+2}$  

•  $\frac{2}{y+2}$  

• y+2

• 1

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

 $Find\ the\ LCD\ of\frac{y}{8xy}\ and\ \frac{1}{5x^2y^3}$  

•  $40x^2y^3$  

•  $40xy$  

•  $20x^2y^3$  

•  $20xy$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

 $\frac{4}{x}+\frac{2}{x}+\frac{1}{x}$  

•  $\frac{6}{x}$  

•  $\frac{7}{x}$  

•  $\frac{5}{x}$  

•  $\frac{8}{x}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

 $Subract\ \frac{x+9}{x+3}-\frac{-4x\ -5}{x+3}$  

•  $\frac{5x+15}{x+3}$  

•  $5$  

•  $\frac{5x+3}{x+3}$  

•  $\frac{3}{x+3}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

 $Add\frac{x+y}{xy^2}+\frac{3x+y}{x^2y}$  

•  $\frac{x^2+4xy+y^2}{x^2y^2}$  

•  $\frac{x^2+y^2}{x^2y^2}$  

•  $\frac{x^2+2xy+y^2}{xy}$  

•  $\frac{x^2+y^2}{xy}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6