CPM Homework Help : INT3 Problem 12-100

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12-100.

Perform each operation below and simplify your results.

$\frac { x ^ { 2 } + 4 x + 3 } { x ^ { 2 } + 3 x } \cdot \frac { 3 x } { x + 1 }$
Hint (a):
Factor each quadratic expression first.
More Help (a):
Remove Giant Ones.
Answer (a):
$3$

$\frac { y ^ { 2 } } { y + 4 } - \frac { 16 } { y + 4 }$
Hint (b):
Factor the quadratic expression in the numerator after subtracting. Remove the Giant One.
Answer (b):
$y−4$

$\frac { x ^ { 2 } + x } { x ^ { 2 } - 4 x - 5 } \div \frac { 3 x ^ { 2 } } { x - 5 }$
Hint (c):
See part (a).

$\frac { x ^ { 2 } - 6 x } { x ^ { 2 } - 4 x + 4 } + \frac { 4 x } { x ^ { 2 } - 4 x + 4 }$
Hint (d):
Factor the quadratic expressions in the numerator and denominator after adding.
Remove the Giant Ones.

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