Standard Identities
Chapter Name : Algebraic Expressions And Identities |
Sub Topic Code : 104_08_09_11_01 |
Topic Name : Standard Identities |
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Sub Topic Name : Standard Identities |
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Introduction
The standard identities are obtained by multiplying two binomials
Pre-Requisites:
Algebraic Expressions, Terms, coefficients, variables
Activity:
Take a booklet. Make a note of the standard identities & use your own values on them in different ways. Verify them.
Real Life Question:
In solving for the diameter of the pipes which are to be laid underground, how are the complex algebraic equations solved?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Identity | An equation that is universal & true for all the values (in this case-Real numbers) |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
In many engineering applications, where the equations are algebraic expressions of second order..for instance, while constructing the slab of your house, to arrive at the final equation, standard identities would be needed
Practical examples around us
| Examples | Explainations |
|---|---|
| Path of a ball thrown from the top of a building | When a ball is thrown from the top of a building, it follows a parabolic path. To solve this, you will need the help of these standard identities |
What you learn in Theory:
(a+b)(a+b) = (a+b)2 = a2 + b2 + 2ab, (a-b)(a-b) = (a-b)2 = a2 + b2 -2ab, (a+b)(a-b) = a2 – b2
What you learn in Practice:
The standard identities will be true for all the values.