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Question

Expand the following, using suitable identities:

(2xy+z)2   [3 MARKS]


Solution

Formula: 1 Mark
Application: 2 Marks

(2xy+z)2

Using the identity

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca

a=2x,b=y,c=z

=(2x)2+(y)2+(z)2+2(2x)(y)+2(y)(z)+2(z)(2x)     

=4x2+(y)2+(z)24xy2yz+4xz

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