SOLUTION: Simplify the rational expression{{{4x^2-36}}} over
{{{x^2+10x+21}}}
Algebra.Com
Question 363196: Simplify the rational expression over
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Factor the top and bottom and then reduce the fraction as needed.
4x^2 - 36 becomes (2x - 6)(2x + 6).
2x - 6 becomes 2(x - 3) and 2x + 6 becomes 2(x + 3).
The numerator becomes [4(x - 3)(x + 3)].
x^2 + 10x + 21 becomes [(x + 3)(x + 7)] = the denominator.
Our fraction now looks like this:
[4(x - 3)(x + 3)]/[(x + 3)(x + 7)]
What do you think we need to do now?
We need to cancel out common terms on the top and bottom.
I see that (x + 3) is found on the top and bottom. So, we cancel out (x + 3) on the top and bottom.
The answer is: 4(x - 3)/(x + 7).
Done!
RELATED QUESTIONS
Simplify the rational expression:
(-x^2 + 10x -21)/(-3x^2 + 23x... (answered by kittycat1613)
simplify the rational expression
-x^2+10x-21/-3x^2+23x-14
(answered by reviewermath)
simplify the rational expression
{{{x^2+11x+30 over... (answered by algebrahouse.com)
x^2 - 4x / x^2 - 5x - 36
simplify the given rational expression... (answered by jsmallt9)
simplify the rational expression. x^2+4x-12 over... (answered by stanbon)
Simplify the rational expression. Assume that no denominator equals zero.
x^3-4x over... (answered by rfer)
Simplify the rational expressions... (answered by stanbon)
Simplify the Rational expression.
x^2+8x+12... (answered by checkley71)
I need help simplifying this rational expression: x+4(over)2x^2 +... (answered by checkley77)