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# Algebra Questions and Answers

**Algebra Questions**

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.

**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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- Linear Equations – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Quadratic Equations – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts

- Linear Equations –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Quadratic Equations –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts