SOLUTION: {{{ ((x+4)/(16-x^2)) / ((x+2)/(x+4)) }}} How do you divide this?

Algebra ->  Inverses -> SOLUTION: {{{ ((x+4)/(16-x^2)) / ((x+2)/(x+4)) }}} How do you divide this?       Log On


   

Question 1045859: +%28%28x%2B4%29%2F%2816-x%5E2%29%29+%2F+%28%28x%2B2%29%2F%28x%2B4%29%29+
How do you divide this?
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28x%2B4%29%2F%2816-x%5E2%29%29+%2F+%28%28x%2B2%29%2F%28x%2B4%29%29+...first factor

+%28%28x%2B4%29%2F%284%5E2-x%5E2%29%29+%2F+%28%28x%2B2%29%2F%28x%2B4%29%29+

+%28%28x%2B4%29%2F%28%284-x%29%284%2Bx%29%29%29+%2F+%28%28x%2B2%29%2F%28x%2B4%29%29+...simplify



+%281%2F%284-x%29%29+%2F+%28%28x%2B2%29%2F%28x%2B4%29%29+

+%281%28x%2B4%29%29%2F%28%284-x%29%28x%2B2%29%29+

+%28x%2B4%29%2F%28%284-x%29%28x%2B2%29%29+

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Invert and multiply:



Factor the quadratic denominator in the left-hand fraction (difference of two squares), then eliminate factors common to numerator and denominator (aka cancel like factors). Then multiply the two fractions that remain.

John

My calculator said it, I believe it, that settles it