This page consists some of the Algebra Questions and Answers that will help you to level up your confidence in this topic. Algebra starts with a methodical learning of the uses along with the rules of arithmetic. The operations of multiplication, subtraction, addition as well as division functions as the foundation for all mathematical calculations.
DefinitionAlgebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols to solve equations and study relationships between quantities.
Rules of Algebra Questions and Answers
For achieving simplification, characters of the alphabet are taken in algebra in order to signify values or digits. The alphabets like x, y, a, or b are used for a specific value (known or unknown), or else it could represent for any value at all. An alphabet or variable that signifies a random number is known as a variable. The difference, quotient, sum, and product of two digits, x and y, can be represented in the form of x + y, x – y, xy and x÷y.
Linear equations are of the form of ax + b = c, ax + by + c = 0, ax + by + cz + d = 0. Elementary algebra based on the degree of the variables, branches out into quadratic equations and polynomials. Representation of a quadratic equation in a general form is ax2 + bx + c = 0, and for a polynomial equation, it is axn + bxn-1+ cxn-2+ …..k = 0
Now let us take a look on the Algebra Questions and Answers to make the concept more clear and understandable.
Algebra Identities:
(a+b)^{2}=a^{2}+b^{2}+2ab
(a-b)^{2}=a^{2}+b^{2}-2ab
a^{2}-b^{2}=(a+b)(a-b)
a^{2}+b^{2}=(a+b)^{2}-2ab = (a-b)^{2}+2ab
a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})
a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})
(a+b)^{3}= a^{3}+3ab(a+b)+b^{3}
(a-b)^{3}= a^{3}-3ab(a+b)-b^{3}
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