Question

write the following in the expanded form (x/2 +y +2z )²​

Answer 1

Answer:

Given,

(2x−y+z)

2

Formula,

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

⇒(2x−y+z)

2

=(2x)

2

+(−y)

2

+(z)

2

+2(2x×−y)+2(−y×z)+2(z×2x)

=4x

2

+y

2

+z

2

−4xy−2yz+4xz

Answer 2

Answer:

(x/2 +y +2z )²

=x²/4 + y² + 4z² + 2(x/2 + y + 2z)

=x²/4 + y² + 4z² + x + 2y + 4z

( Multiplying the equation by 4)

=x² + 4y² + 16z² + 4x + 8y + 16z

= (x + 4)x + (y + 2)4y + (z + 1 )16