CPM Homework Help : AC Problem 11-50

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Home > AC > Chapter 11 > Lesson 11.1.4 > Problem 11-50

11-50.

Simplify each expression below.

$\frac { 3 x ^ { 2 } + 8 x + 5 } { x ^ { 2 } - 5 x - 6 } \cdot \frac { 2 x - 5 } { 3 x + 5 }$
Hint (a):
Factor, then multiply.
Step 1 (a):
$\frac { ( 3 x + 5 ) ( x + 1 ) ( 2 x - 5 ) } { ( 3 x + 5 ) ( x + 1 ) ( x - 6 ) }$
Step 2 (a):
Look for factors that make 1.
Answer (a):
$\frac { ( 2 x - 5 ) } { ( x - 6 ) }$

$\frac { x ^ { 2 } + x - 12 } { x ^ { 2 } - x - 6 } \div \frac { x - 5 } { x ^ { 2 } - 3 x - 10 }$
Hint (b):
Change the division to multiplication, then see part (a).

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