scwka scwka
  • 23-04-2020
  • Mathematics
contestada

How to factor by grouping:
[tex]{27x}^{3} - 75x[/tex]
​

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 23-04-2020

Answer:

3 x (3 x - 5) (3 x + 5)

Step-by-step explanation:

Factor the following:

27 x^3 - 75 x

Factor 3 x out of 27 x^3 - 75 x:

3 x (9 x^2 - 25)

9 x^2 - 25 = (3 x)^2 - 5^2:

3 x (3 x)^2 - 5^2

Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):

Answer: 3 x (3 x - 5) (3 x + 5)

Answer Link

Otras preguntas

An item costs $370 before tax, and the sales tax is $33.30. What is the sales tax rate in a percentage
On rainy days, Andrew enjoys COLORING. Identify the word in bold. A. gerund B. present participle C. verb D. infinitive
simplify the expression below squafe foot 169
Read the passage. Melissa is decorating a pair of jeans in art class. She decides to use all the craft supplies to decorate it. She adds glitter, sequins, beads
The idea that one's self-image is shaped by the ways others view them is called _____. a. social comparison b. self-concept c. self-fulfilling prophecy
you call pizza store and find out that each pizza has 12 slices. you except 16 people to come, and you estimate each person will eat 3 slices. How many pizzas s
evaluate the indicated function for f(x) = x2 + 2 and g(x) = x − 7. (f/g)(8)
what is the distance from the sun to mercury in scientific notation
Who was the attorney (lawyer) that helped to win the case of brown vs. the board of education of topeka in 1954?
If the ideal gas constant has a value of 0.0821, what are its units?