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Question

Write down different identities of algebraic expression.

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Solution

Algebric Identities
If and equality holds true for all values of he variable, then it is called an Iidentity.
Iidentity 1:(x+y)2=x2+2xy+y2
Iidentity 2: (xy)2=x22xy+y2
Iidentity 3: (x+y)(xy)=x2y2
Iidentity 4: (x+y+z)2=2+y2+z2+2xy+2yz+2zx
Iidentity 5: (x+y)3=x3+y3+3xy(x+y)
Iidentity 6: (xy)3=x3y33xy(xy)
Iidentity 7: x3+y3=(x+y)(x2xy+y2)
Iidentity 8: x3y3=(xy)(x2+xy+y2)
Iidentity 9: x3+y3+z33xyz=(x+y+z)(x2+y2+z2xyyzzx)=12(x+y+z){(xy)2+(yz)2+(zx)2}

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