Question

Factorise : 3x2+y2+27z2-2√3xy+6√3yz-18xz

please answer quickly

I will mark you as BRAINLIST

please write steps​

Answer 1

Steps

3x\cdot \:2+y\cdot \:2+27z\cdot \:2-2\sqrt{3}xy+6\sqrt{3}yz-18xz

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6

=6x+2y+27\cdot \:2z-2\sqrt{3}xy+6\sqrt{3}yz-18xz

\mathrm{Multiply\:the\:numbers:}\:27\cdot \:2=54

=6x+2y+54z-2\sqrt{3}xy+6\sqrt{3}yz-18xz

Answer 2

Answer: 3x² + y² + 27z² - 2√3xy + 6√3yz - 18xz {(a+b+c)²= a²+b²+c²+

                                                                                    2ab + 2bc + 2ac}

(-√3x)² + (y)² + (3√3z)² + 2X(-√3x)(√y) + 2X(y)(3√3z) + 2(-√3x)(3√3z)

=(-√3x + y + 3√3z)²