nubtrek

Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

User Guide   

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
  think,
  figure-out, &
  learn.

Just keep tapping (or clicking) on the content to continue in the trail and learn. continue

User Guide   

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

  nub,

  trek,

  jogger,

  exercise.

continue

User Guide    

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about. continue

User Guide    

trek is the step by step exploration of the concept.

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step. continue

User Guide    

jogger provides the complete mathematical definition of the concepts.

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen. continue

User Guide    

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge. continue

summary of this topic

Basic Algebraic Identities

Basic Algebraic Identities

Voice  

Voice  



Home



Multiplication Simplified Using Algebraic Identities

The variables of algebraic identities can be substituted with numbers and the identities can be used if multiplication becomes simpler.

 »  `81^2 = (80+1)^2`
`(a+b)^2 = a^2+2ab+b^2`


 »  `78^2 = (80-2)^2`
`(a-b)^2 = a^2-2ab+b^2`


 »  `84xx 76 = (80+4)(80-4)`
`(a+b)(a-b) = a^2-b^2`


 »  `83xx86 = (80+3)(80+6)`
`(x+a)(x+b)``= x^2+(a+b)x+ab`

Multiplication Simplified Using Algebraic Identities

plain and simple summary

nub

plain and simple summary

nub

dummy

algebraic identity helps to simplify some numerical multiplications.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

Support Nubtrek     
 

You are learning the free content, however do shake hands with a coffee to show appreciation.
To stop this message from appearing, please choose an option and make a payment.




The algebraic identities of square can be used to simplify multiplication of numbers or square of numbers.


Keep tapping on the content to continue learning.
Starting on learning "Multiplication Simplified Using Algebraic Identities". ;; The algebraic identities of square can be used to simplify multiplication of numbers or square of numbers.

Which of the following is true to compute `71^2`?

  • Using `(a+b)^2` identity to calculate `(70+1)^2`
  • algebraic identities cannot be used for numbers

The answer is 'Using `(a+b)^2` identity to calculate `(70+1)^2`'

To compute `71^2` the `(a+b)^2` identity is used to simplify the multiplication.
`71^2`
`=(70+1)^2`
`=70^2+2xx70xx1+1^2`
`=4900 + 140 + 1`
`=5041`

Which of the following is true to compute `69^2`?

  • Using `(a-b)^2` identity to calculate `(70-1)^2`
  • algebraic identities cannot be used for numbers

The answer is 'Using `(a-b)^2` identity to calculate `(70-1)^2`'

To compute `69^2` the `(a-b)^2` identity is used to simplify multiplication.
`69^2`
`=(70-1)^2`
`=70^2-2xx70xx1+1^2`
`=4900 - 140 + 1`
`=4761`

Which of the following is true to compute `73 xx 67`?

  • Using `(a+b)(a-b)` identity to calculate `(70+3)(70-3)`
  • algebraic identities cannot be used for numbers

The answer is 'Using `(a+b)(a-b)` identity to calculate `(70+3)(70-3)`'

To compute `73xx67` the `(a+b)(a-b)` identity is used to simplify the multiplication.
`73xx67`
`=(70+3)(70-3)`
`=70^2-3^2`
`=4900 -9`
`=4891`

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Using Algebraic Identities in Numerical Multiplication: The variables of algebraic identities can be substituted with numbers and the identities can be used if multiplication becomes simpler.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Compute `52^2` using an algebraic identity.

  • `(50+2)^2` `=2500+200+4`
  • `(5+2)^2` `=25+20+4`

The answer is '`(50+2)^2` `=2500+200+4`'

Compute `87^2` using an algebraic identity.

  • `(90-3)^2` `=8100-540+9`
  • `(8+7)^2` `=64+112+49`

The answer is '`(90-3)^2` `=8100-540+9`'

Compute `52xx48` using an algebraic identity.

  • `(50+2)(50-2)` `=2500-4`
  • `(5+2)48` `=5xx48+2 xx 48`

The answer is '`(50+2)(50-2)` `=2500-4`'

your progress details

Progress

About you

Progress

which of the following is true to compute 71 squared?
using;squared;calculate
using a+b squared identity to calculate 70 + 1 squared
algebraic;cannot;can;not;used
algebraic identities cannot be used for numbers
The answer is "using a+b squared identity to calculate 70 + 1 squared"
To compute 71 squared, a + b whole squared identity is used to simplify the multiplication.
Compute 52 squared using an algebraic identity.
1
2
The answer is "50 + 2 whole squared"
which of the following is true to compute 69 squared?
using;squared;calculate
using a-b squared identity to calculate 70 - 1 squared
algebraic;cannot;can;not;used
algebraic identities cannot be used for numbers
The answer is "using a-b squared identity to calculate 70 - 1 squared"
To compute 69 squared, a minus b whole squared identity is used to simplify the multiplication.
compute 87 squared using an algebraic identity.
1
2
The answer is "90 minus 2 whole squared"
which of the following is true to compute 73 multiplied 67?
using;multiplied;minus
using a+b multiplied a minus b identity to calculate 70 + 3 multiplied 70 minus 3
algebraic;cannot;can;not;used
algebraic identities cannot be used for numbers
The answer is "using a+b multiplied a minus b identity to calculate 70 + 3 multiplied 70 minus 3"
To compute 73 multiplied 67, a + b multiplied a minus b identity is used to simplify the multiplication.
Compute 52 multiplied 48 using an algebraic identity.
1
2
The answer is " 50 +2 multiplied 50 minus 2"
algebraic identity helps to simplify some numerical multiplications.
The variables of algebraic identities can be substituted with numbers and the identities can be used if multiplication becomes simpler.

we are not perfect yet...

Help us improve