Home > Subjects > Mathematics > Level 1 > 1.2 Algebraic methods (AS91027) > Subject content > Simplifying in algebra
- Subject: Mathematics
- AS: 91027
- Level: 1
- Credits: 4
- External
Mathematics 1.2 Apply algebraic procedures in solving problems
Simplifying in algebra
Adding and subtracting terms
This involves identifying and combining the "like terms".
e.g. 5x + 2y – 3x + 4y = 2x + 6y
Note: the sign belongs to the term it is in front of.
For more about collecting like terms, see:
Multiplying terms
To multiply terms, multiply the numbers and add the indices.
e.g. 5ab2 x –3a3b5 = -15a4b7
e.g. (5d2)3 = 5d2 x 5d2 x 5d2 = 125d6
See:
See worked examples using exponents on Algebasics – Section 6: Exponents (Macromedia Flash® and sound required).
Dividing algebraic terms (algebraic fractions)
Cancel 4 in each line. Two 'a's in the bottom line cancel with two in the top line.
See further information and practice on simplifying algebraic fractions.
