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Algebra Formulas

# Algebra Formulas

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Algebra formulas are a tool which has all the algebraic formulas. There are many different formulas that we require in solving and simplifying the algebraic expressions. These formulas are very useful in solving the complex problems at an ease. This also helps in determining the value of unknown variable in a very fast way. One of the examples of algebraic formula is as follows:-
(a+b) 2 = a2 + b2 + 2ab.
(a-b) 2 = a2 + b2 - 2ab.
Apart from the above there are various other formulas which help us in solving the algebraic equations in a very easy way.

This can be understood in a better way by taking and solving some examples. The solved examples are as follows:-

Example 1: - Solve the following with the help of a formula:- (2+ 3)2

Solution:-  For the above equation (2+ 3)2

We Know that:-

(a+b) 2 = a2 + b2 + 2ab

Therefore,

(2+ 3)2 = 22 + 32 + 2 (2) (3)

= 4 + 9 + 12

= 25.

So (2+ 3)2 = 25

Example 2:- Solve the following with the help of formula:- (2+ 1)3

Solution:-  We Know that:-

(a+b) 3 = a3 + b3 + 3ab (a+b)

= a3 + b3 + 3a2b + 3ab2

Therefore,

(2+ 1)3 = 23 + 13+ 3 (2)2 (1) + 3 (2) (1)2

= 8 + 1 + 12 + 6

= 27

So after solving we find that,

(2+ 1)3 = 27.