Factor the expression completely. 9x^2 - 24x^5

Mathematics

2 answers:

alexira [117]3 years ago

7 0

3x² (3 - 8x³)

Explanation:

you have to find the GCF first (greatest common factor)

GCF is 3x²

and then, divide each term by the GCF

${3x}^{2} ( \frac{9x ^{2} }{ {3x}^{2} } + \frac{ - 24 {x}^{5} }{ {3x}^{2} } )$

now, simplify each of the term in parentheses.

if you do it correctly, you'd get 3x² (3 - 8x³) as the answer.

sveticcg [70]3 years ago

7 0

Answer:

3x^2(3 - 8x^3)

Step-by-step explanation:

9x^2 - 24x^5 = 3x^2 (3 - 8x^3)

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

= 3x^2(3^(1/3) - 2x)(3^(2/3)+ 2*(3^(1/3))x + 4x^2)

You might be interested in

Ratio equivalent to 2:1

Nataliya [291]

Answer:

4:2

8:4

12:6

16:8

6 0

3 years ago

the pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 3 feet and the

bogdanovich [222]

Check the picture below

thus $\bf s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
s=\textit{arc's length}\\
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=3\\
\theta=10
\end{cases}\implies s=\cfrac{3\cdot 10\cdot \pi }{180}$

3 0

3 years ago

Serial numbers for a product are to be made using 4 letters followed by 4 digits. the letters are to be taken from the first 9 l

grin007 [14]

Answer:

15,240,960 serial numbers

Step-by-step explanation:

Since no repeats are allowed and the order matters, the number of possible serial numbers is given by the product of the permutation of 4 out of 9 letters by the permutation of 4 out of 10 numbers:

$n=\frac{9!}{(9-4)!}*\frac{10!}{(10-4)!} \\n=9*8*7*6*10*9*8*7\\n=15,240,960$