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Algebra is a branch of mathematics that substitutes letters for numbers.

Algebra is a branch of mathematics that substitutes letters for numbers. An algebraic equation depicts a scale, what is done on one side of the scale with a number is also done to either side of the scale. The numbers are constants. Algebra also includes real numbers, complex numbers, matrices, vectors and much more. X, Y, A, B are the most commonly used letters that represent algebraic problems and equations.

Example 1: Find out the value of 5 2 – 3 2

Solution:

Using the formula a 2 – b 2 = (a – b)(a + b)

where a = 5 and b = 3

(a – b)(a + b)

= (5 – 3)(5 + 3)

= 2  × × 8

= 16

Example 2: 4 3 × × 4 2 = ?

Solution:

Using the exponential formula (a m )(a n ) = a m+n

where a = 4

4 3 × × 4 2

= 4 3+2

= 4 5

= 1024

Here is a list of Algebraic formulas –