Home > Algebra > Excluded Values for Rational Expressions

How do you simplify #(9s+72)/(s^2-2s-80)#?

Answer 1

Isaiah Anthony

#(9s+72)/(s^2-2s-80)=color(green)(9/(s-10))#

#9s+72=color(blue)(9(s+8))#

#s^2-2x-80=color(blue)((s+8)(s-10))#

Therefore #(9s+72)/(s^2-2s-80)=color(blue)((9cancel(""(s+8)))/(cancel(""(s+8))(s-10)))=color(green)(9/(s-10))#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Kennedy Adams

To simplify the expression (9s+72)/(s^2-2s-80), you can factor the denominator and then cancel out any common factors between the numerator and denominator. The denominator can be factored as (s-10)(s+8). After factoring, you can cancel out the common factor of (s+8) from the numerator and denominator. The simplified expression is (9s+72)/(s-10).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.