### Factor the Expressions : (r+6)^3-216 and 7(3k-1)^2+26(3k-1)-8

(r+6)^3-216 then 7(3k-1)^2+26(3k-1)-8

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

- Mathematics
- /
- Algebra
- /

(r+6)^3-216 then 7(3k-1)^2+26(3k-1)-8

4. By choosing specific nonzero values of z1 and z2, show that ... is not always valid when log is replaced by Log. Please see the attached file for the completely formatted problems. Others are attached.

If sinx and cosx are the roots of the equation ax^2 + bx + c = 0 then prove that a^2 - b^2 + 2ac = 0

I need a sequence of transformations that will transform the graph of 'f' into the graph of 'g' where f(x)=x[squared]+1 and g(x)=(x+3)[squared]-4. m(x)= [the sqare root of] (4x+12) [divided by] (2x[squared]-7x+5). (I need to find the domain of m, using interval notation).

1) Let S= {b ,b ,...........b } satisfies b j+1 >2b j for all j =1,2,3,.......n-1. Prove that S is a superincreasing sequence. ≡ 2) Prove that n E N with n ≥ 3 is prime if and only if there exists an integer m such that m^(n-1) ≡ 1 (mod n)^((n-1)/q) but m is not ≡ ( mod n) for any prime q| (n-1)

Please explain how I make this work via my TI-30 (or any calculator for that matter). I dont understand how to "punch" it in. 10 Log 1.9X10^-4 / 1X10^-12 the answer is 82.8 Thank you for helping me get to this answer.

Bonnie drove 540 miles in three times the time it took Buffy to travel 135 miles. Buffy's speed was slower than Bonnie's by 15 miles per hour. Find the rate and time of each.

Without computing the characteristic polynomial, explain why the matrix A below has 0 as eigenvalue; then find a basis for the corresponding eigenspace. A = 1 -1 1 -1 1 -1 1 -1 1

Function A Function B ------------ ----------- n^1/3 6 log(n) is A=O(B) ? Yes/No is A=o(B) ? Yes/No is A=Big Omega(B) ? Yes/No is A=Small Omega(B) ? Yes/No is A=Theta(b) ? Yes/No Also the same for the following pai

Please walk me through this. 6x^4 + 9x^3 + 2x^2 - 8x + 7 / 3x^2 - 2

Please simplify the attached expressions. Thanks

Please solve: {(a-2/3a^4)/(5a-10/27a)} Thanks!

I am trying to determine and prove the general law for the following sequence: I would like to express it in notation. 1+2=3 4+5+6=7+8 9+10+11+12=13+14+15 16+17+18+19+20=21+22+23+24

Select and justify the use of energy methods to molve motion problems.. Please see attached.

1. [sin(x+b) + cos(x+b)]/[cos(x+b)-sin(x+b)]= 2. cos^2(x+b)-cos^2(x-b)= 3. tan x + cot 2x = 4. tan (45 + x) -tan (45 -x)= 5. tanx - cotx + cot 2x = Plus two more...

Divide (12a squared - 25a -7 divided by (3a-7) (x cubed - 6x sqyared + 7x -2 divided by (x-1) A circle has a radius of 10 inches. Find the increase in area that occurs when the radius is increased by 2 in. Round to the nearest hundredth. An object is released from the top of an building 320 ft high. The initial velocity

1. Find the derivatives for the following functions ("^" means "to the power of", sorry I can't do double exponents on my keyboard) : a. f(X) = 100e10X b. f(X) = e(10X-5) c. f(X) = e^X3 d. f(X) = 2X2e^(1- X2) e. f(X) = 5Xe(12- 2X) f. f(X) = 100e^(X3 + X4) g. f(X) = e^(200X - X2 + X100) 2. Fi

1. Take the function f(X) = (X-1)/X a. What does this function equal when X = 0, X = 1, and X =2 ? b. How about when X =100, X = 1000, and X = 10,000? c. Describe in words what a graph of this function would look like. d. What would you say the limit of this function is as X approaches infinity? You can use logic or

The equation x^4 - 18x^3 + 121x^2 - 368x + 420=0 has complex conjugate roots (4+j2) & (4-j2). By a process of division and solving a quadratic equation, find all the roots and hence write down all the factors of : x^4

1) -2X^2 - 1 = 0 2) √X + 4 = 0

If x > 1 is a given real number, then for every integer n > or equal to 2, (1 + x)^n > 1 + nx.

The Quadratic Equation. Consider the reaction N2O4(g) = 2 NO2(g) at 25 C in a 5.00-L container. Use the quadratic equation to determine the equilibrium concentrations of the N2O4 and NO2 if the initial amounts are 0.100 mol N2O4 and 0.00 mol NO2. The value of the equilibrium constant for the reaction is 4.63 x 10-3 at 25 C

The Quadratic Equation. Question: Consider the reaction 2 COF2(g) = CO2(g) + CF4(g) at 1000 degrees Celsius in a 5.00-L container. Use the quadratic equation to determine the equilibrium concentrations of all reactants and products if the initial amounts are 0.105 mol COF2, 0.220 mol CO2, and 0.055 mol CF4. The value

Please assist me with the attached congruence problems (hint: use Wilson's Theorem) a)Prove if a,b,c Z, N and gcd (c, ) = , then ac bc(mod ) if and only if a b (mod ). b) Let a Z, N, and p > 2 be a prime. Prove that a is its own inverse modulo p if and only if a 1 (mod p ). C) Let a,b Z, N .prove that ax

Adding two years to the boys age would make him a quarter of his father's age. Five years ago his father was one year less than ten times his sons age. Determine the age of the boy and his father.

I need the step by step answer to how to come to the answer given in the practice test. Thanks. Problem (also attached): 36 km² to mm² = ?

Find the irrational factors of 7x²-9x-2 expressing the answer to two decimal places.

Question: Determine the formula weight of K3PO4. a. 134.1 amu b. 185.1 amu c. 212.3 amu d. 173.2 amu e. 228.3 amu

Graph: 3x - 2y < 6 ....Must show graph.

Solve and simplify: 26/3- 23/6 13(6t+4r)-2(10t-8r)