0308 21-30

Factor  $x^2-6x-27$  

•  $\left(x-9\right)\left(x+3\right)$  

•  $\left(x+9\right)\left(x-3\right)$  

•  $\left(x-9\right)\left(x-3\right)$  

•  $\left(x+9\right)\left(x+3\right)$  

Factor $6x^3-7x^2-10x$  

•  $\left(x-2\right)\left(6x+5\right)$  

•  $x\left(x-2\right)\left(6x+5\right)$  

•  $x\left(x-12\right)\left(x+5\right)$  

•  $x\left(x+2\right)\left(6x-5\right)$  

Solve  $4x^2-49=0$  

•  $\left\{\frac{-2}{7},\frac{2}{7}\right\}$  

•  $\left\{\frac{7}{2}\right\}$  

•  $\left\{\frac{-7}{2},\frac{7}{2}\right\}$  

•  $\left\{\frac{2}{7}\right\}$  

Solve  $\left(3x+10\right)\left(3x-2\right)=\left(x+3\right)\left(3x+10\right)$  

• No solution

•  $\left\{\frac{-10}{3},\frac{2}{3},-3\right\}$  

•  $\left\{\frac{5}{2}\right\}$  

•  $\left\{\frac{5}{2},\frac{-10}{3}\right\}$  

Simplify $\frac{x^2+4x+3}{x^2-1}$  

•  $\frac{x+3}{x-1}$  

•  $\frac{\left(x+1\right)\left(x+3\right)}{\left(x+1\right)\left(x-1\right)}$  

•  $\frac{x-1}{x+3}$  

•  $\frac{x+3}{x+1}$  

Simplify  $\frac{3-x}{3x^2-5x-12}$  

• $\frac{1}{x+4}$

• $-\frac{1}{3x+4}$

• $\frac{1}{3x+4}$

• $-\frac{1}{\left(x+4\right)}$

Perform operation and reduce $\frac{2x^2+x}{4x+8}\times\frac{2x^2+6x}{x^3+3x^2}$  

•  $\frac{2x+1}{x+2}$  

•  $\left(x+3\right)$  

•  $\frac{2x+1}{2\left(x+2\right)}$  

•  $\frac{2x^{ }\left(2x+1\right)}{4\left(x+2\right)}$  

Perform the operation and reduce  $\frac{3x^2-9xy}{6x^2-6y^2}\div\frac{x^3-3x^2y}{xy+y^2}$  

•  $\frac{y}{x-y}$  

•  $\frac{1}{6x\left(x-y\right)}$  

•  $\frac{y\left(x+y\right)\left(x-3y\right)}{2\left(x^2-y^2\right)}$  

•  $\frac{y}{2x\left(x-y\right)}$  

Perform the operation and reduce  $\frac{6x-5y}{2x-y}-\frac{4x-4y}{2x-y}$  

• 1

•  $5x-y$  

•  $\frac{2x-9y}{2x-y}$  

•  $\frac{2x+y}{2x-y}$  

Perform the operation and reduce  $\frac{6x+1}{3x-4}-\frac{3x-13}{4-3x}$  

• $\frac{-9x+12}{3x+4}$

• $3$

• $-3$

• $\frac{3\left(x-4\right)}{3x-4}$