Question

expand using suitable identities (2x+3y-z)^2

Answer 1

Answer:

Step-by-step explanation:

( a+b-c)² = a² + b² + c² + 2ab -2bc -2ca

( 2x+3y-z)² = (2x)² + (3y)² + (-z)² + 2 * 2x * 3y - 2 * 3y * z - 2 * z * 2x

=4x² + 9y² + z²+ 12xy -6yz - 4xz

Answer 2

Given,

An identity (2x+3y-z)².

To find,

Expand the identity  (2x+3y-z)²

Solution,

The given identity is of the form (a + b - c)².

Expansion of (a + b - c)²  = a² + b² + c² + 2ab - 2bc - 2ca.

⇒    Similarly expansion of (2x+3y-z)² is-

⇒   (2x)² + (3y)² + (z)² + 2(2x)(3y) - 2(3y)(z) - 2(z)(2x)

⇒   4x² + 9y² + z² + 12xy - 6yz -4zx

Hence, the expansion of  (2x+3y-z)² is  4x² + 9y² + z² + 12xy - 6yz -4zx