Factorise : 3x2+y2+27z2-2√3xy+6√3yz-18xz
please answer quickly
I will mark you as BRAINLIST
please write steps
Share
Factorise : 3x2+y2+27z2-2√3xy+6√3yz-18xz
please answer quickly
I will mark you as BRAINLIST
please write steps
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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: 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