Factorise

$x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x$

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$x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x$

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

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

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

Similar Questions

Classify the following polynomials as polynomials in one variable, two variables etc.

$y^{3}-5 y$

Expand

$(2 x+3 y+5)^{2}$

Factorise

$25 x^{2}+9 y^{2}+64+30 x y-48 y-80 x$

State whether each of the following statements is true or false

The degree of polynomial $5 x^{2}-7 x+2$ is $5 .$

Factorise $: x^{3}-x^{2}-17 x-15$