Algebra with Applications (Nandan Nayak)

INTRODUCTION TO THE ALGEBRA OF BEGINNING WITH APPLICATIONS:

Algebra was popularized in the early ninth century by al-Khowarizmi, the author of the first book algebra chose Al-jabr wa al-Muqabalah, which derives the English word algebra. Linear algebra beginning algebra and its Applications publishes articles to help new and the theory of matrices and finite information algebra linear dimensions in their arithmetic, algebraic, geometric, digital or Combinatorial aspects (operations with matrices, inverse matrix, determinants.)

Definition of algebra and applications starting:

Algebra is a word of Arabic language. This means that algebra "Bringing together broken pieces" beginning is covered to simplify expressions, solving linear, ordered co equations and graphing.

Algebra is the generalization of arithmetic and follows the same laws (for example, associative, cumulative distribution) and the arithmetic operations (addition, subtraction, multiplication, division). Algebra deals both numerals and literals. Thus, x 2 + x 2 = 4 x and x * y = y * x no matter what numbers x and y represent

Applications of algebra starting:

Application 1: Find the largest common factor and increase less common

Application 2: Algebraic expressions, subjects pre-algebra can be factored and expanded

Application 3: Simplification of algebraic polynomial equations and expressions

4 Application: for simplpify and perform operations on complex numbers (number real + imaginary number (a + ib))

Application 5: Solve different types of equation as linear, quadratic equation and many other equations (including the logarithm, exhibitors) and

inequalities

Application 6: Find the value of each variable using cramer's rule to solve a system of two linear equations.

7 Application: Plotting of different types of graphics such as lines, parabolas, hyperbolas, circles, ellipses, solutions of the equation and inequality.

8. Enforcement: basic geometry and trigonometry and calculate the sides and the angle of the right - angle triangle

Simplify Expressions in algebra beginning with applications

(2y + 5)(y - 6)? Is this the same thing as 2y + 5 (6 - y)?
No, change it the parentheses. Here, we use the distributive law twice:

(2y + 5)(y - 6)

(2y + 5) = (y)-(2y + 5

= 2y2 + 5y - 12y - 30 (don't forget to change the sign on this last term)

= 2y2 - 7y - 30.

Beginning algebra another method:

First of all, on the outside, inside, last.

(2y + 5)(y - 6)

. . . . F.. O.. I HAVE. . L . . . .

= (2y) (y)-(2y) (6) + (5) (y)-(5)(6)

= 2y ^ 2-12 years + 5y - 30

= 2y ^ 2 - 7y - 30

Response of the early algebra given problem is 2y ^ 2 - 7y - 30

(n + 3)(n – 3) = n2 - 3n + 3n - 9

= n2 - 9.

In general, (a + b)(a-b) = a ^ 2 - b ^ 2

Treatment...

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Algebra with Applications (Nandan Nayak)

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