Question

Simplify with the help of formula: (2x + y + z)² - 2(2x + y + z) (y - z) + (y - z)²​

Answer 1

Step-by-step explanation:

Let's simplify step-by-step.

(2x+y+z)2−2(2x+y+z)(y−z)+(y−z)2

Distribute:

=4x2+4xy+4xz+y2+2yz+z2+−4xy+4xz+−2y2+2z2+y2+−2yz+z2

Combine Like Terms:

=4x2+4xy+4xz+y2+2yz+z2+−4xy+4xz+−2y2+2z2+y2+−2yz+z2

=(4x2)+(4xy+−4xy)+(4xz+4xz)+(y2+−2y2+y2)+(2yz+−2yz)+(z2+2z2+z2)

=4x2+8xz+4z2

Answer:

=4x2+8xz+4z

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