Algebraic Identity -3


 
 
Concept Explanation
 

Algebraic Identity -3

Product of two binomials (x+a) and (x+b)

large (x+a)(x+b)=x(x+b)+a(x+b)

                               large = x^{2}+xb+ax+ab

                               large =x^{2}+bx+ax+ab

                               large =x^{2}+ax+bx+ab

                   large =x^{2}+(a+b)x+ab

large because xb=bx

large therefore bx+ax=ax+bx

Thus,

         large (x+a)(x+b)=x^{2}+ax+bx+ab

                                           OR

         large (x+a)(x+b)=x^{2}+(a+b)x+ab

Illustration: Expand (x+3)(x+4)

Solution:     large =  large x^{2}+(3+4)x+3times 4

                    large =x^{2} +7x +12

Illustration: Expand (y+2)(y+5)

Solution:     y^{2}+(2+5)y+2(5)

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

Evaluate (105 - 2) (105 + 2)

Right Option : D
View Explanation
Explanation
Question : 2

Using suitable identity find the product (3x+4)(3x+4)

Right Option : A
View Explanation
Explanation
Question : 3

Evaluate (1000-4)(1000+3)

Right Option : A
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 


Students / Parents Reviews [20]