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Simplification of terms of Basic Arithmetic expressions

- 1) This chapter is very important because numerical on simplification are based on concepts related decimal fraction, square and cube roots, H.C.F. and L.C.M., numbers, etc.
- 2) How to find H.C.F. and L.C.M.
- 3) Tricks to solve decimal fractions
- 4) Number system, types of numbers
- 5) How to find square root and cube root

- 1) (a - b)
^{2}= (a^{2}+ b^{2}- 2ab) - 2) (a + b)
^{2}= (a^{2}+ b^{2}+ 2ab) - 3) (a + b) (a – b) = (a
^{2}– b^{2}) - 4) (a
^{3}+ b^{3}) = (a + b) (a^{2}– ab + b^{2}) - 5) (a
^{3}- b^{3}) = (a - b) (a^{2}– ab + b^{2}) - 6) (a + b + c)
^{2}= a^{2}+ b^{2}+ c^{2}+ 2 (ab + bc + ca) - 7) (a
^{3}+ b^{3}+ c^{3}– 3abc) = (a + b + c) (a^{2}+ b^{2}+ c^{2}– ab – bc – ac)

## Quick Tips and Tricks## 1) Virnaculum (Bar ‘¬¬–’):If a given expression contains a virnaculum (bar), then first simplify the given expression under virnaculum and then follow the rule of
## 2) ‘BODMAS Rule’:This rule is used to solve and find out the value of given expressions by performing the operations in a correct sequence.
- B: Bracket
- O: Order (i.e. power, square root etc.)
- D: Division (Left to right)
- M: Multiplication (Left to right)
- A: Addition (Left to right)
- S: Subtraction (Left to right)
## 3) Modulus of a real numberThe modulus of a real number or the absolute value is defined as follows: Modulus of x is written as |x| |

Numbers
Highest Common Factor And Least Common Multiple
Decimal
Fractions
Simplification
Surds And Indices
Chain Rule
Square Root And Cube Root
Ratio And Proportion
Pipes And Cisterns
Boats and Streams
Problems on Trains
Alligation or Mixtures
Time and Distance
Geometry
Time and Work
Simple Interest
Problem Solving

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- Idioms and Phrases
- Pipes And Cisterns
- What Are Literary Motifs? - Definition and Examples
- What are the Different Types of Numbers?
- Density: Definition, Formula
- Square Root And Cube Root
- What is a Decimal Place Value
- Active Voice and Passive Voice
- NTS GAT Exam Day Tips
- How to Structure Sentences in an Essay
- Overview of the Quantitative
- Synonyms
- Ordering of Sentence
- How to Prepare for the GAT in Three Months

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