Verified Document

Algebra, Trig Perform The Indicated Operation And Research Paper

Related Topics:

Algebra, Trig

Perform the indicated operation and simplify completely: (x + 10)(x^2 + 9x - 8)

(x + 10)(x^2 + 9x - 8) = x^3 + 9x^2 -- 8x + 10x^2 + 90x -- 80 = x^3 + 19x^2 +82x --

Perform the indicated operation and simplify completely:

(5x + 5) / (5x + 9) + (5x + 13) / (5x+9)

(5x + 5) / (5x + 9) + (5x + 13) / (5x+9) = (5x + 5 + 5x + 13) / (5x + 9)

= (10x + 18) / (5x + 9) = 2(5x + 9) / (5x + 9) = 2

Perform the indicated operation and simplify completely:

(8x^6 + 7x^3 + 3x) + (3x^6+5x^3 -5x)

(8x^6 + 7x^3 + 3x) + (3x^6+5x^3 -5x) = 8x^6 + 7x^3 + 3x + 3x^6 + 5x^3 -- 5x

= 11x^6 + 12x^3 -- 2x

Perform the indicated operation and simplify completely: (x - 3)^

3)^3 = (x -- 3)(x -- 3)(x -- 3) = (x^2 -- 3x -- 3x + 9)(x -- 3) = (x^2 -- 6x + 9)(x -- 3)

= x^3 -- 3x^2 -- 6x^2 + 18x + 9x -- 27 = x^3 -- 9x^2 + 27x -

Factor: 4x^2-9y^2 completely

4x^2 -- 9y^2 = (2x + 3y)(2x -- 3y)

Factor: 4x - 40 completely

4x -- 40 = 4(x -- 10)

Perform the indicated operation and simplify completely: (x + 11)(x -11)

(x + 11)(x -11) = x^2 + 11x -- 11x -- 121 = x^2 -- 121

8. Perform the indicated operation and simplify completely:

(x^3 + 3xy - 8y^2) - (6x^3 + 8xy + y^2)

(x^3 + 3xy - 8y^2) - (6x^3 + 8xy + y^2) = x^3 + 3xy -- 8y^2 -- 6x^3 -- 8xy -- y^2

= -5x^3 -- 5xy -- 9y^2

9. Perform the indicated operation and simplify completely:

[2x / (4x + 2)] * [(6x + 3) / 5)]

[2x / (4x + 2)] * [(6x + 3) / 5)] = (12x^2 + 6x) / (20x + 10) = [6x (2x + 1)] / [10(2x + 1)]

= 6x / 10 = 2(3x) / 2(5) = 3x / 5

10. Factor: x (x + 12) + 11(x + 12) completely x (x + 12) + 11(x + 12) = (x + 11)(x + 12)

11. Factor: x^2 + 10x + 21 completely x^2 + 10x + 21 = (x + 7)(x + 3)

12. Perform the indicated operation and simplify completely: (x-2)^2

(x -- 2)^2 = x^2 -- 2x -- 2x + 4 = x^2 -- 4x + 4

13. Perform the indicated operation and simplify completely: (4x -9)(x - 10)

(4x -- 9)(x -- 10) = 4x^2 -- 9x -- 40x + 90 = 4x^2 -- 49x + 90

14. Factor: x^2-8x + 16 completely:

x^2 -- 8x + 16 = (x -- 4)^2

15. Perform the indicated operation and simplify completely: (x - 4y)(5x - 9y)

(x -- 4y)(5x -- 9y) = 5x^2 -- 9xy -- 20xy + 36y^2 = 5x^2 -- 29xy + 36y^2

Cite this Document:
Copy Bibliography Citation

Related Documents

Algebra in Daily Life It
Words: 718 Length: 2 Document Type: Essay

There are many other variables that would affect real-world riding speed, and the effort variable would also be far more complicated than represented here, but this should suffice for now. Several equations can be written using the variables defined here. For instance, to calculate the effort needed to go one kilometer (it's easier to go kilometers than miles, at least mathematically), or a thousand meters, in a given gear,

Algebra Like Many Other Languages and Sciences,
Words: 305 Length: 1 Document Type: Term Paper

Algebra Like many other languages and sciences, Algebra can be useful in the explanation of real-world experiences. Linear algebra, in particular, holds a high level of relevancy in the solution of real world problems like physics equations. Since the key point of physics is to explain the world in proven observations, linear algebra is an ideal mode for discussion. Many real-world situations can be explained by algebra; for example, how does

Algebra How Algebra Can Be
Words: 477 Length: 2 Document Type: Term Paper

By observing x on the graph, then we make the connection that the slope of x on the graph represents rate of change of the linear function. Once we have done this, it is then possible to move to the development of a quadratic equation and see what the impact of the increase (or perhaps decrease) means to the data. Have we proven that the rate of change is linear?

Algebra Trigonometry
Words: 361 Length: 1 Document Type: Research Paper

Algebra, Trig Algebra-Trig Find the slope of the line that goes through the following points: (-4, 6), (-8, 6) Slope: m = (y2 -- y1) / (x2 -- x1) = (6 -- 6) / (-8 -- (-4)) = 0 / (-4) = 0 m = 0. Determine whether the given function is even, odd or neither: f (x) = 5x^2 + x^ To test a function for even, odd, or neither property, plug in -- x

Algebra All Exponential Functions Have As Domain
Words: 475 Length: 2 Document Type: Essay

Algebra All exponential functions have as domain the set of real numbers because the domain is the set of numbers that can enter the function and enable to produce a number as output. In exponential functions whatever real number can be operated. (-infinity, infinity) You have ln (x+4) so everything is shifted by 4. The domain of ln (x+4) is now -4 < x < infinity (Shifting infinity by a finite number

Algebra the Use of Scientific
Words: 650 Length: 2 Document Type: Discussion Chapter

Those studying physics and astronomy, and perhaps other scientific disciplines as well, are accustomed to the use of scientific shorthand and in some fields it is essential -- the example above of distance between energy waves from supernovae is a good example. There is a high level of variation in these distances, so a shorthand like the one on financial statements would be apply, but the numbers are very

Sign Up for Unlimited Study Help

Our semester plans gives you unlimited, unrestricted access to our entire library of resources —writing tools, guides, example essays, tutorials, class notes, and more.

Get Started Now