Answer:
x¹³ - x⁹ - 9x⁸ + 9x⁴
Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
Now, for the given:
To answer the question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.
This can be done as follows:
(x⁸ - x⁴)(x⁵ - 9)
x⁸(x⁵) + x⁸(-9) - x⁴(x⁵) - x⁴(-9)
x¹³ - 9x⁸ - x⁹ + 9x⁴
Rearrange in order of decreasing powers, we will end up with:
x¹³ - x⁹ - 9x⁸ + 9x⁴
Hope this helps :)
Answer:
the third term wasn't distributed properly the -2 has to multiply by +2 = -4
Step-by-step explanation:
-5x^2y - 3xy^2 - 2(4y+2) - 2.5x^2y
-5x^2y - 3xy^2 - 8y - 4 - 2.5x^2y
-7.5x^2y - 3xy^2 - 8y - 4
-- the greatest common factor of the 15, the 9, and the 24 is 3 .
-- the greatest common factor of the b⁴, the b⁵, and the b³ is b³.
-- the greatest common factor of the c³, the c², and the c¹, is c¹.
-- the greatest common factor of the d², the d¹, and the d³ is d¹.
-- SO, the greatest common factor of the whole thing is ( 3 b³ c d ) .
Can you factor that out of the big mess ?
Please try it.
You should get (3 b³cd) (5 bc²d - 3 b²c - 8 d²) .
To solve the problem shown in the figure attached, you must apply the proccedure shown below:
1. You have that the equation for calculate the area of a circle is:
A=πr²
2. You have that the formula for calculate the diameter of a circle is:
d=2r
Therefore, the radius is r=d/2
where r is the radius of the circle
3. Keeping the information above on mind, you have the correct sequence of the equations by clearing the diameter d, is shown below:
A=π(d/2)²
A=πd²/4
4A=πd²
d²=4A/π
d√(4A/π)
Therefore, as you can see, the answer is:
A=π(d/2)²
A=πd²/4
4A=πd²
d²=4A/π
d√(4A/π)
