Answer:
4x^2 + 21x - 18
Step-by-step explanation:
(9x^2+24x-8)-(5x^2+3x+10)
9x^2+24x-8-5x^2-3x-10
9x^2 - 5x^2 = 4x^2
24x - 3x = 21x
-8 - 10 = -18
Answer: 4x^2 + 21x - 18

<em>Write any 4 laws, or properties, of exponents.</em>
<em />
<em> </em>



When we multiply together numbers with the same base,
we add the exponents.



When we divide numbers with the same base, we
subtract the exponents.



If we have a fraction to a power, we raise the numerator and
the denominator to that power.
And then last but not least,



If we have a number with a negative exponent, we flip it over.
<h3>Good luck with your studies.</h3>
#TogetherWeGoFar

Answer:

Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form
.
Given: 
Let
be it's solution.
We get,

Since
, 
{ we know that for equation
, roots are of form
}
We get,

For two complex roots
, the general solution is of form 
i.e 
Applying conditions y(0)=1 on
, 
So, equation becomes 
On differentiating with respect to t, we get

Applying condition: y'(0)=0, we get 
Therefore,
