Algebraic Identity - Square of Trinomial


 
 
Concept Explanation
 

Algebraic Identity - Square of Trinomial

Let us take a trinomial dpi{100} large (a+b+c)^2

Let                             large a+b= x

Now ,square the trinomial as follows:

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

                                large = large x^{2}+2xc+c^{2}

                                large = (a+b)^{2}+2(a+b)c+c^{2}

                                large = a^{2}+2ab +b^{2}+2ac+2bc+c^{2}

                                 large a^{2}+b^{2}+c^{2}+2ab+2bc +2ca

            large therefore (a+b+c)^{2}= a ^{2}+b^{2}+c^{2}+2ab+2bc+2ca

IllustrationExpand large (3x+2y+7)^{2}

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Sample Questions
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Question : 1

If a+b+c=10 and a^2+b^2+c^2=36 then ab+bc+ca=___________

Right Option : C
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Question : 2

Fill in the blank:

(3x+5y-3z)^2=9x^2+25y^2+__________+30xy-30yz+____________.

Right Option : B
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Explanation
Question : 3

Factorize:    x^2+4y^2+9z^2-4xy+12yz-6zx

Right Option : D
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Explanation
 
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