COURSES

• Algebra is the part of mathemetics in which letters and other generated symbols are used to represent numbers and quantities in formulae and eqauations.

• algebra expressions are the types of expressions that mainly consists of these parts ; variables, constants and coeffients . The four basic operations are addition, subtraction division and multiplication. Operations on algebraic expression are the process through which we can solve complex as well as simple equations.

Addition and subtraction expression

Steps 1. sort out all the like terms based on the variables.

          2. Addition and subtraction is performed on all the grouped terms with the same variable.

Example on addition

(xy + 2yz + 4) + (2yz + 4xy + 6) = 0

(xy + 4xy) + (2yz + 2yz) + (4 + 6) = 0

5xy + 4yz + 10 = 0

Example on subtraction

(xy + 2yz + 4)  - (2yz + 4 xy + 6) = 0

(xy - 4xy) + (2yz - 2yz) + (4 - 6)-3xy - 2 = 0

Multiplication and Division 

Step 1 : Multiplying or diving each term of the first express with term of the second expression.

Step 2 : Add or subtract the powers and express as exponent with the variable if the same varible appear.

step 3 : If different variables exist, just write them as the product of another variable.

Step 4 : Every term obtained must be separated by the its respectively signs.

 examples of division and multiplication are well explained inthe video below

simplifying an algebraic expression 

1. Remove parentheses and brackets by multiplying factors.

2. Use the exponent rule to remove ..... if the terms contain exponents.

3. Combine like terms by adding or subtracting coefficients.

4. Combine the constants

steps: 1. Multiplying or dividing each term of the first expression with each term of the second expression.

          2. add or subtract the powers and express as exponent with the variable if he same variable appear.

          3. If different variables exist, just write them as the product of another variable.

          4. Every term obtained must be separated by its respective signs.

Example on multiplication ((5a^(2)b^(9)) 

Factorisation by grouping

1. Group the first two terms together and then the last two terms together.

2. Factor out  the GCF from each separate b....

3. Factor out the common b....

Factorisation by greatest common factor

1. Find the GCF of terms in the polynomial.

2. Express each term as a product of the GCF and another factor.

3. Use the distributive property to factor out GCF