Simplify-3 x-2 y-z2-2 x-2 y-z2

3x+2y+z2 2x 2y z2We #160;know #160;that #160;(a+b+c)2 #160;= #160;a2+b2+c2+2ab+2bc+2ac=9x2+4y2+z2+12xy+4yz+6xz 4x2+4y2+z2 8xy+4yz 4xz #160; #160; ...

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Addition and Subtraction of Algebraic Expression

Simplify:3 x+...

Question

Simplify:
(3x + 2y + z)² − (2x − 2y − z)²

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Solution

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(3 x + 2 y + z)^{2}

(3 x + 2 y - z)^{2}

x + y + z = x y z

\frac{2 x}{1 - x^{2}} + \frac{2 y}{1 - y^{2}} + \frac{2 z}{1 - z^{2}} = \frac{2 x}{1 - x^{2}} \cdot \frac{2 y}{1 - y^{2}} \cdot \frac{2 z}{1 - z^{2}}

(i) $x^{2} + y^{2} + z^{2} - x y + x + y z by x + y - z$

(ii) $x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z by x - 2 y - z$

(iii) $x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9 by x - 2 y + 3$

(iv) $9 x^{2} + 25 y^{2} + 15 x y + 2 x - 20 y + 16 by 3 x - 5 y + 4$

(3 x + 2 y + z)^{2}

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