Question

Write the following in expanded form: (3x+2y-z)^2

Answer 1

GIVEN :

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

TO FIND :

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

SOLUTION :

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

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

By using the algebraic formula is given by  :

$(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca$

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

Substitute the values in the formula we get

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

By using the property :

$(ab)^m=a^m.b^m$

$=3^2x^2+2^2y^2+z^2+12xy-4yz-6zx$

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

$(3x+2y-z)^2=9x^2+4y^2+z^2+12xy-4yz-6zx$

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

Answer 2

Step-by-step explanation:

answer,x square -4y square-9z square-4xy+12yz+6xz