Question

expand (x+2y+4y)2 using suitable identify
$expand (x + 2y + 4z)2 using suitable identify$
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Answer 1

Answer:

Solution:

To expand ( x+2y +4z )² , we will use the identity

(a+b+c)² = a² +b² +c² +2ab +2bc +2ca

Hence,

(x +2y + 4z )²

= x² + (2y)² + (4z)² + 2x(2y) + 2(2y)(4z) + 2(4z)(x)

= x² +4y² + 16z² + 4xy + (4y)(4z) + 8z(x)

= x² + 4y² + 16z² + 4xy + 4yz + 8xz

= x² + 4( y² + 4z² + xy + yz + 2xz)