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
(More Questions for each concept available in Login)
Question : 1

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

Right Option : D
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Explanation
Question : 2

The base of a right-angled triangle measures 5 m and its hypotenuse measures 13 m. Its area will be

Right Option : C
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Explanation
Question : 3

Evaluate:  (290)^2-(210)^2

Right Option : D
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Explanation
 
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