Question

Simplify (2x-y+z)^2- (2x+y-z)^2.

Answer 1

To simplify: (2x-y+z)²- (2x+y-z)²

We consider here a = 2x and

b = (-y+z)

Using this formula

${(a + b)}^{2} - {(a - b)}^{2} = 4ab$

(2x-y+z)² - (2x+y-z)² = 4 x 2x(-y+z)

= 8x(-y+z)

= -8xy+8xz