Question
How do you factor #8x^3-125#?
How do you factor #8x^3-125#?
Answers
#(2x-5)(4x^2+10x+25)# Explanation:
Factoring difference of cubes (
#a^3-b^3# ):#(a-b)(a^2+ab+b^2)# Here,
#a# is#2x# because the cube root of 8 is 2 and the cube root of#x^3# is#x# ,#b# is 5 because the cube root of 125 is 5.Plug the numbers in:
#(2x-5)((2x)^2+2x*5+5^2)#
#(2x-5)(2^2x^2+10x+25)#
#(2x-5)(4x^2+10x+25)#
Similar Solved Questions
1 answers
Can someone help me solve this step by step using dimensional analysis. And explain how please....
Can someone help me solve this step by step using dimensional analysis. And explain how please. Thank you 8. Amoxil 500ms po o6 h is ordered for a child weighing 50 kg The recommended high dosage of Amoxil is 80 mg to 100 mglk/24 h q12. a. What is the single dose range for this child? b. Is the...
1 answers
Determine the pH of the following solution: 0.954 M NaCl
Determine the pH of the following solution: 0.954 M NaCl...
1 answers
Question 1: Decision trees and Bayes' theory (a) You hire an you as that grades the...
Question 1: Decision trees and Bayes' theory (a) You hire an you as that grades the part with a pass or a fail. As a company, you know that 90 % of your engineer who performs a quality control check on a part and returns a report to high quality and 10 % of your parts are low quality. The engine...
1 answers
4. 0/6.25 points Previous Answers SerCP10 16.P.009. My Notes A 71.0-9 block carrying a charge Q...
4. 0/6.25 points Previous Answers SerCP10 16.P.009. My Notes A 71.0-9 block carrying a charge Q - 36.0 C is connected to a spring for which - 77.0 Nm. The block lies on a frictionless, horizontal surface and is immersed in a uniform electric field of magnitude E-4.76 x 10* N/C directed as shown in t...
1 answers
Raw the stepwise mechanism for the mono-bromination of ethane with bromine in the presence of light....
raw the stepwise mechanism for the mono-bromination of ethane with bromine in the presence of light. State what type of mechanism is involved. Indicate the initiation, propagation and termination step...
1 answers
Please help with these questions Question 16 0.8 pts The combinations that a consumer can afford...
Please help with these questions Question 16 0.8 pts The combinations that a consumer can afford line, and the area underneath, contain all of the possible indifference 0 redaction O Maginot O optimization O budget constraint Question 17 0.8 pts Since two goods are subject to diminishing marginal ...
1 answers
On January 1, the first day of the fiscal year, a company issues a $5,000,000, 6%,...
On January 1, the first day of the fiscal year, a company issues a $5,000,000, 6%, 10-year bond that pays semiannual interest of $150,000 ($5,000,000 x 6% x ½ year), receiving cash of $5,000,000. Journalize the entries to record (a) the issuance of the bonds, (b) the first interest payment on...
1 answers
How do you simplify #(y x ^ { 3} \cdot x y ) ^ { 2}#?
How do you simplify #(y x ^ { 3} \cdot x y ) ^ { 2}#?...
1 answers
Please answer # 22 and 24 hapter 1 Systems of Linear Equations and Matrices *21. Suppose...
Please answer # 22 and 24 hapter 1 Systems of Linear Equations and Matrices *21. Suppose that A is n × m and B is m × n so that AB is n × n. Show that AB is no invertible if n> m. [Hint: Show that there is a nonzero vector x such that AB then apply Theorem 6.] and 22.) Use th...
1 answers
Very confused on 10 because a,b, d are all dipole dipole. how do you pick from...
very confused on 10 because a,b, d are all dipole dipole. how do you pick from those three A) I & IV B) I, II & III C) II & III D IVO 10. Choose the material below with the highest vapor pressure A) F-O-F B) Br-O-BOC ) H-O-O- H D ) CI-O-CI...
1 answers
8. Economic fluctuations I The following graph shows the economy in long-run equilibrium at the e...
8. Economic fluctuations I The following graph shows the economy in long-run equilibrium at the expected price level of 120 and the natural level of output of $600 billion. Suppose a stock market boom increases household wealth and causes consumers to spend more. Shift the short-run aggregate supply...
1 answers
5. BGP (Border Gateway Protocol) routers advertise routes between Autonomous Systems. Autonomous Systems are numbered and...
5. BGP (Border Gateway Protocol) routers advertise routes between Autonomous Systems. Autonomous Systems are numbered and the table entries will provide the paths from AS to AS based on a longest prefix match of the incoming packet. Based on the following table, decide which AS path the following pa...
1 answers
A square aluminum plate 5 mm thick and 150 mm on a side is heated while...
A square aluminum plate 5 mm thick and 150 mm on a side is heated while vertically suspended in quiescent air at 75°C. The temperature of the plate is 15°C a. Write the assumptions of the problem (at least two) b. What are the properities of the problem c. Calculate the Rayleigh number d. Wh...
1 answers
Astrology Nonsense 1 point Astrology makes a big deal about the position, and thus gravitational pull,...
Astrology Nonsense 1 point Astrology makes a big deal about the position, and thus gravitational pull, of the planets at the moment of a person's birth. Suppose a 4.0 kg baby is born to 100 kg mother and a 100 kg father. What is the gravitational force of Mars on the baby when it is at its close...
1 answers
Please calculate whats boxed 4 R3 R1 M 1kg 4.7ko SR4 1010 E = 15 V...
Please calculate whats boxed 4 R3 R1 M 1kg 4.7ko SR4 1010 E = 15 V SR2 $2.2kg 15V Figure 1: Series Parallel Circuit Table 1-Series-Purattet Analysis (Reduce and Return Approach) Calculated Multisim RI ba E Vi V...