Question

(-4x+2y-z)²
expand the following using suitable identity

Answer 1

Step-by-step explanation:

(-4x)^2+(2y)^2+(-z)^2+2{(-4x)2y}+2{2y(-z)}+2{(-z)(-4x)}

=16x^2+4y^2+z^2-8xy-4yz+8xz

Answer 2

Answer:

$= 16 {x}^{2} + 4 {y}^{2} + z {}^{2} - 8xy - 2yz + 4xz$

Step-by-step explanation:

$( - 4x + 2y - z) {}^{2}$

$= {( - 4x)}^{2} + (2y) {}^{2} + (- z) {}^{2} + 2 ( - 4x)(2y) + 2(2y)( - z) + 2 (- 4x)( - z)$

$= 16 {x}^{2} + 4 {y}^{2} + z {}^{2} - 16xy - 4yz + 8xz$