Question

What is algebra?

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Answer 1

Answer:

Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

Answer 2

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Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics

Remember these things:-

• When letters of alphabet represent number, they are called Literal Number's

• The word "ALGEBRA" is derived from the title of the book , "ALGEBAR W" al-almugatalah" written by an Arab mathematician, Mohammed Ben Musa..

• Indian mathematician, "ARYABHATTA" is said to have introduced Algebra in India..

• The first person to develop algebric method of problem solving was the French mathematician, "Francois Viete". He's also called the "Father of Algebra".

• In a literal number 'a', base is 'a' and power is 1 because a = a¹

Remember:-

(2x)³ = 2x × 2x × 2x

2x³ = 2 × x × x × x

• A quantity Which doesn't change it's value is called a Constant

• A quantity which changes value is called Variable..

• The coefficient of x in x is 1 because x = 1 × x

• The coefficient of x in - x is - 1 × x

• A combination of number's, literal numbers, literal numbers and fundamental operations is called an Algebraic Expression..

• Parts of an Algebraic Expression separated by the symbols (+) and (-) are called the Terms of algebric expression..

• Terms having the same variables are called Like Terms

• Terms having different variables are called Unlike terms..

• One term is called:- Monomial
• Ex= 5x
• Two term is called:- Binomial
• Ex = 6y + 7q
• Three term is called:- Trinomial
• Ex = 5x²y - 2a + 6y
• Four terms is called:- Quadrinomial
• 4x²y - 2x²y + 3xy - 8q
• Many terms is called:- Polynomial

• Like terms can be added
• Unlike terms cannot be added
• Only like terms can be subtracted
• Unlike terms cannot be subtracted

• Literal represent numbers