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# Expand each of the following, using suitable identities: (iii) ( - 2x + 3y + 2z)^2

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

(iii)    $(-2x + 3y + 2z)^2$

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Given is  $(-2x + 3y + 2z)^2$

We will Use identity

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

Here, $a =- 2x , b = 3y \ \ and \ \ c = 2z$

Therefore,

$(-2x +3y+2z)^2 = (-2x)^2+(3y)^2+(2z)^2+2.(-2x).3y+2.3y.2z+2.z.(-2x)$

$= 4x^2+9y^2+4z^2-12xy+12yz-8zx$

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