Algebraic Identity - Dfference of Square


 
 
Concept Explanation
 

Algebraic Identity - Dfference of Square

Algebraic Identity-Difference of Square:

small ( a + b ) ( a - b ) = a^ 2 - b^ 2

We can prove this identity by multiplying the expressions on the left side and getting equal to the right side expression. Here is the proof of this identity.

Let's begin with the left side of the expression. We have

small (a+b)(a-b)=a(a-b)+b(a-b)=a^2-ab+ab-b^2=a^2-b^2

which is equal to the right side of the identity. Hence proved.

Example: Solve ;(5x-2y)(5x+2y).

Solution: (5x-2y)(5x+2y)=(5x)^2-(2y)^2= 25x^2-4y^2

Example Solve 15 X 25

Solution: 15 X 25

              = (20-5) X (20 +5)

              = large 20^2-5^2

             =400-25

             = 375

Sample Questions
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Question : 1

The value of (a+b)^2-(a-b)^2  is : 

Right Option : A
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Explanation
Question : 2

Find the value of  297 X 303  by using the standard algebraic identities.

Right Option : C
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Explanation
Question : 3

If a = 5 and b = 15,then a^2-b^2 is ______________

Right Option : D
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Explanation
 
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