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)

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Sample Questions
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Question : 1

Evaluate :   (x+1)(x+2)

Right Option : A
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Question : 2

Find the product of  :   (y^2+2)(y^2-9)

Right Option : D
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Explanation
Question : 3

Evaluate (y+2)(y+4)

Right Option : C
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Explanation
 
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