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  • Expand each of the following, using suitable identities: ( 2x - y + z) ^2

4.(ii)  Expand each of the following, using suitable identities:

 (ii)    (2x - y + z)^2

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Given is  (2x - y + z)^2

We will Use identity  

(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca

Here, a = 2x , b = -y \ \ and \ \ c = z

Therefore,  

(2x -y+z)^2 = (2x)^2+(-y)^2+(z)^2+2.2x.(-y)+2.(-y).z+2.z.2x

                                = 4x^2+y^2+z^2-4xy-2yz+4zx

 

Posted by

Gautam harsolia

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