# Mathematical Formulas

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Math is a subject which deals with numbers and calculations, based on these numbers. Math is sub-divided into various major topics like Algebra, Plane Geometry, Coordinate Geometry, Trigonometry, Probability and Statistics, Calculus etc., and these topics are the important blocks which analyze and explain various mathematical concepts and their calculations. In order to work out the calculations, we need formulas and these formulas are known as the Mathematical form ulas. Mathematical formulas are seen in every topic and they help us solve problems quickly and effectively.

Example 1: Expand (x + 3)2 using the appropriate algebraic formula.

According to the algebraic formula, (a + b)2 = a2 + 2ab + b2

In order to expand (x + 3)2, we can compare the given question with the above formula and we can see that,

a = x and b = 3.

Therefore we get, (x + 3)2 = x2 + (2 * x * 3) + 32 = x2 + 6x + 9

This gives: (x + 3)2 = x2 + 6x + 9

Example 2: Expand (x – 5)2 using the appropriate algebraic formula.

According to the algebraic formula, (a - b)2 = a2 - 2ab + b2

In order to expand (x - 5)2, we can compare the given question with the above formula and we can see that, a

= x and b = 5.

Therefore we get, (x - 5)2 = x2 - (2 * x * 5) + 52 = x2 – 10x + 25

This gives: (x + 5)2 = x2 – 10x + 25