Question

simplify (x + 2y + 3z)​

Answer 1

Corrected Question :

• Simplify ${\sf{\bigg(x\:+\:2y\:+\;3z\bigg)^2}}$

A N S W E R :

• ${\sf{x^2\:+\:4y^2\:+\:9z^2\:-\:4xy\;-\:6xz\:+\:12yz}}$

E X P L A N A T I O N :

• ${\sf{\bigg(x\:+\:2y\:+\;3z\bigg)^2}}$

${\sf{\bigg[\bigg(x\bigg)\:-\; \bigg(2y\:+\:3z\bigg)\bigg]^{2}}}$

${\sf{x^2\:-\:2x\bigg(2y\:+\:3z\bigg)\;+\;\bigg(2y\:+\:3z\bigg)^2}}$

${\sf{x^2:-\:4xy\:-\:6xz\:+\:4y^2\:2.2y.\:3z\:+\:9z^2}}$

${\sf{x^2\:+\:4y^2\:+\:9z^2\:-\:4xy\;-\:6xz\:+\:12yz}}$

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Proved!}}}}$

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