Question

expand the following(3x-2y-z)^2​

Answer 1

Answer:

GIVEN :

The expression is (3x+2y-z)^2(3x+2y−z)2

TO FIND :

The given expression (3x+2y-z)^2(3x+2y−z)2 in the expanded form.

SOLUTION :

The given expression is  (3x+2y-z)^2(3x+2y−z)2

Now we can expand the given expression  (3x+2y-z)^2(3x+2y−z)2 as below :

By using the algebraic formula is given by  :

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

Here a=3x , b=2y and c=-z from the given expression.

Substitute the values in the formula we get

(3x+2y-z)^2=(3x)^2+(2y)^2+(-z)^2+2(3x)(2y)+2(2y)(-z)+2(-z)(3x)(3x+2y−z)2=(3x)2+(2y)2+(−z)2+2(3x)(2y)+2(2y)(−z)+2(−z)(3x)

By using the property :

(ab)^m=a^m.b^m(ab)m=am.bm

=3^2x^2+2^2y^2+z^2+12xy-4yz-6zx=32x2+22y2+z2+12xy−4yz−6zx

=9x^2+4y^2+z^2+12xy-4yz-6zx=9x2+4y2+z2+12xy−4yz−6zx

(3x+2y-z)^2=9x^2+4y^2+z^2+12xy-4yz-6zx(3x+2y−z)2=9x2+4y2+z2+12xy−4yz−6zx

∴ the expanded form of the given expression (3x+2y-z)^2(3x+2y−z)2 is 9x^2+4y^2+z^2+12xy-4yz-6zx9x2+4y2+z2+12xy−4yz−6zx

Answer 2

Answer:

9x-4y-2z

pls mark as brainlieest.