Question

Expand (2x – 3y +z) raised to power 2

Answer 1

Answer:

( 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.

OR..,

Using identity (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab - 2bc - 2ca

(-2x + 5y -3z)^2 = 2x^2 + 3y^2 + -z^2 + 2(2x)(3y-2)(3y)(z)(z-2)(2x) = 4x^2 + 9y^2 +z^2 + 12xy - 6yz - 4xz.

hope it helps you...

Answer 2

Answer:

4x^2+9y^2+z^2-12xy-6yz+4xz

Step-by-step explanation:

=(2x)^2+(-3y)^2+(z)^2+2[2x(-3)+(-3y)(z)+(z)(2x)]

=4x^2+9y^2+z^2+2(-6xy)+2(-3yz)+2(2xz)

=4x^2+9y^2+z^2-12xy-6yz+4xz