Question

The expanded form of (2x-3y-z)² is:​

Answer 1

Answer:

$4x^2+9y^2+z^2-12xy+6yz-4xz$

Step-by-step explanation:

We know:

$(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)$

So,

$(2x-3y-z)^2=(2x)^2+(-3y)^2+(-z)^2+2[(2x)(-3y)+(-3y)(-z)+(-z)(2x)]\\\\=4x^2+9y^2+z^2+2(-6xy+3yz-2xz)\\\\=4x^2+9y^2+z^2-12xy+6yz-4xz$