Expand( 2x+3y+2z)^2 Using suitable identity.

Given, (-2x+3y+2z)2

Using the algebraic identity;

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

We can write the given expression as:

(-2x + 3y + 2z )²

= (-2x)² + (3y)² + (2z)² + 2(-2x)(3y) + 2(3y)(2z) + 2(-2x)(2z)

= 4x² + 9y² + 4z² – 12xy + 12yz – 8zx

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