Algebraic calculus is a form of calculation that combines letters, numbers, and operations. The calculators, quizzes, games and exercises offered here allow you to practice algebraic calculus online.

## Algebraic calculation : games, quizzes and exercises

Quiz solving equations of the second ...
Quiz solving equations with one unkn ...
Quiz derivative of the exponential f ...
Quiz on complex numbers (algebraic c ...
Quiz solving inequalities with one u ...
Quiz on calculating with square root ...
Quiz on statistics (algebraic calcul ...
Game expression expansion (algebraic ...
Quiz derivative of logarithm functio ...
Quiz on the calculation of the deri ...
Quiz number of solutions of the seco ...
Quiz on vectors (algebraic calculation)
Factorization game using remarkable ...
Expression factoring game (algebraic ...
Quiz on numerical sequences (algebra ...
Quiz solving first degree equations ...
Quiz on finding function antiderivat ...
Quiz on algebraic calculus (algebrai ...
Quiz calculating the discriminant of ...

## Algebraic calculation : Reminder

Algebraic calculus is a form of calculus that combines letters, numbers, and operations. The following formulas can be used in factoring and expanding algebraic expressions.

### Factoring and expansion

1. #### Formulas

2. Let a, b and k be three numbers we have :

• ka+kb=k*(a+b)
• ka-kb=k*(a-b)
To factor an algebraic sum is to turn it into a product. To expand is to turn it into an algebraic sum.

3. #### Special expansions

4. Let a,b be two numbers we have the following three equalities: :

These equalities are known as special expansions.

5. #### Factoring by (x-a)

6. P is a polynomial, a a real. If P(a)=0, then P is factorizable by (x-a). That is, there exists a polynomial Q such that for all x, P(x)=(x-a)Q(x).

### Reduction of a literal expression

To simplify a literal expression, we group the dependent terms depending on the same letters and then we reduce each grouping, as in this example: x+x+3y-2y=2x-y.