### Home > A2C > Chapter 6 > Lesson 6.2.4 > Problem6-100

6-100.

Perform each operation below and simplify your results.

1. $\frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } - 4 x } \cdot \frac { 4 x } { x + 2 }$

Try factoring before multiplying to see if there are factors that make 1.

$\frac{4(\textit{x}+3)}{{\textit{x}-4}}$

2. $\frac { x ^ { 2 } - 2 x } { x ^ { 2 } - 4 x + 4 } \div \frac { 4 x ^ { 2 } } { x - 2 }$

Remember that dividing is the same as multiplying by the reciprocal.

See part (a).