1 answer

How do you factor #225x ^ { 2} - 1#?

Question:

How do you factor #225x ^ { 2} - 1#?

Answers

#(15x + 1)(15x - 1)#

Explanation:

It's a difference of squares
#(ax^2 - b) = (sqrt(a)x + sqrt(b))(sqrt(a)x - sqrt(b))#

In this case, #a = 225# and #b = 1#
#sqrt(225) = 15# and #sqrt(1) = 1#

.

Similar Solved Questions

1 answer
37° 37 Vi 1x104 m/s V-2500 m/s V-200 m/s SP2. A fiery 500 kg asteroid is...
37° 37 Vi 1x104 m/s V-2500 m/s V-200 m/s SP2. A fiery 500 kg asteroid is hurtling towards earth at a whapping speed of 200 m/s. Superman comes to the rescue of the planet and flies towards the asteroid as shown in the picture below. Superman has a mass of 100 kg and is flying with an initial spe...
1 answer
Problem 13.13. Consider the system of three linear differential equations: xt = 2x1 + 3x2 +...
Problem 13.13. Consider the system of three linear differential equations: xt = 2x1 + 3x2 + 4.13 where the unknowns are the three functions xi(t), x2(t), and 23(t). x'a = 2x2 + 6.13 (a) Write the system in the form x' = Ax, where A is a (3 x 3) matrix. X'z = 2x3 (b) Write A as the sum of...
1 answer
45. Ellot Company can sell ll of ts products A and Z thatit can produce, but...
45. Ellot Company can sell ll of ts products A and Z thatit can produce, but it has limited production ,000 production capacity. It can produce 8 units of A per hour or 10 units of Z per hour, and it has 20 hours available. Contribution margin per unit is $12 for A sales mix for Elliot Company? A. 8...
1 answer
12/219 PN 200 Fundamentals of Nursing II Alcohol Use -Dependency LM, a 57 year old man,...
12/219 PN 200 Fundamentals of Nursing II Alcohol Use -Dependency LM, a 57 year old man, is admitted to the surgical unit in preparation for back surgery, after conventional treatment for a recent back injury has not relieved his pain. His wife tells the nurse that she hopes that the surgery will be ...
1 answer
Yak Yarn Consolidated purchased a new spinning machine for $19,320. It is estimated that the machine...
Yak Yarn Consolidated purchased a new spinning machine for $19,320. It is estimated that the machine will have annual expenses of $4,056, with a salvage value of $6,029 when it is replaced in 8 years. It will provide a benefit of $5,276 per year in saved utilities and labor. Assume an interest rate ...
1 answer
I need to make a 0.50M Tris buffer with a pH of 8.75. I have access...
I need to make a 0.50M Tris buffer with a pH of 8.75. I have access to Tris (a weak acid) and the sodium salt of Tris (think A-). The Ka of Tris is 8.5x10-9 and the pKa of Tris is 8.07. What are the [HA] and [A-] concentrations of this 0.50M buffer at pH 8.75? Part B: [A-] = _____...
1 answer
Answer all questions This Question: 1 pt 3 of 10 (10 complete)Y This Test: 10 pts...
Answer all questions This Question: 1 pt 3 of 10 (10 complete)Y This Test: 10 pts possibl There is a 0 9991 probability that a randomly selected 30 year-old male lives through the year A lile insurance year If the male does not survive the year, the policy pays out $90,000 as a death benefit Comple...
1 answer
To probe very tiny regions of space (such as the inside of a proton) with electron...
To probe very tiny regions of space (such as the inside of a proton) with electron beams, you need electron beams of very high energy. Why? Can you estimate the kind of energy needed to study a region of diameter d?...
1 answer
Review Part A An ocean-going research submarine has a 40.0 cm -diameter window 8.00 cm thick....
Review Part A An ocean-going research submarine has a 40.0 cm -diameter window 8.00 cm thick. The manufacturer says the window can withstand forces up to 1.20x106 N.What is the submarine's maximum safe depth? The pressure inside the submarine is maintained at 1.0 atm Express your answer with the...
1 answer
FIFO, LIFO and average cost method in periodic inventory system. Angelo Plc uses a periodic inventory...
FIFO, LIFO and average cost method in periodic inventory system. Angelo Plc uses a periodic inventory system. The beginning balance of inventory and purchases made by the company during the month of July, 2016 are given below: July 1: Beginning inventory, 500 units @ $20 per unit. July 18: Inventory...
1 answer
A student performs a double-slit experiment using a monochromatic light source with a wavelength of 5.00...
A student performs a double-slit experiment using a monochromatic light source with a wavelength of 5.00 ´ 10–7 m. The pattern appears on a screen 150 cm away and the bright fringes are 0.40 cm apart. If the wavelength of the light used is changed to 7.50 ´ 10–7 m, what would...
1 answer
The _________ is created and determined to remove those whose participation in an evaluation will likely...
The _________ is created and determined to remove those whose participation in an evaluation will likely impair the function of the evaluation or skew the data. It is also created to remove those who are not a part of the target population. Exclusion criteria Inclusion criteria Experimental group Co...
1 answer
In the following, remember that f(n)(x) represents the nth derivative of f, and assume s >...
In the following, remember that f(n)(x) represents the nth derivative of f, and assume s > 0. (a) By giving an appropriately diverse selection of samples functions f, explain why it is reasonable to assume that for “most” functions f, there is some value s for which lim x→∞...
1 answer
The simple oscillating circuit shown above is made from a parallel plate capacitor connected to a solenoid. The capacitor has plates 3.0 cm x 6.0 cm separated by 2.0 mm and filled with a material...
The simple oscillating circuit shown above is made from a parallel plate capacitor connected to a solenoid. The capacitor has plates 3.0 cm x 6.0 cm separated by 2.0 mm and filled with a material with a dielectric constant x- 8.0. The air-filled solenoid is 12.0 cm in length, with a diameter of 2.5 ...
1 answer
9. (10 points) Solve the following system of IVP: 11 1 x' = Ax where A...
9. (10 points) Solve the following system of IVP: 11 1 x' = Ax where A = 1 1 0 0 ;) and x(0) = 14 NAN LO 0...
1 answer
What are the problems companies face when trying to manage across cultural boundaries?
what are the problems companies face when trying to manage across cultural boundaries?...
1 answer
For question 3 use this format %Example Function Calls newton2(@sin,1) newton2(@(x) x.^2 - 4, 1) ...
For question 3 use this format %Example Function Calls newton2(@sin,1) newton2(@(x) x.^2 - 4, 1) The code to call the function is %Example Function Calls newton3(@sin,1,6) newton3(@(x) x.^2 - 4, 1,4) Please type answers We were unable to transcribe this image3. Using a for loop, create a function th...
1 answer
Need help With my Digital Signal Processing homework (Problem 2) d. Realize the block diagram of...
Need help With my Digital Signal Processing homework (Problem 2) d. Realize the block diagram of the system in Direct Form I and Dir (Canonical Form) Question 2: Find the overal impulse response of following system? y1(n) a utn) u(n-1) X(n) yín) an u(n) 8(n-2) Y2(n) Question 3: A digital rev...