Expand the following and find the correct expansion 1- (3x+2y+z)^2 Question Expand the following and find the correct expansion 1- (3x+2y+z)^2 in progress 0 Math Athena 1 month 2021-08-18T23:02:42+00:00 2021-08-18T23:02:42+00:00 2 Answers 0 views 0

## Answers ( )

Answer:we know that

( a+ b+ c)^2 = a^2+b^2+c^2 +2ab+2bc+2ac

so, (3x+ 2y+ z)^2= (3x)^2 + (2y)^2+z^2+(2*3x*2y)+(2*2y*z)+(2*3x*z)

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

Answer:GIVEN :

The expression is

TO FIND :

The given expression in the expanded form.

SOLUTION :

The given expression is

Now we can expand the given expression as below :

By using the algebraic formula is given by :

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

Substitute the values in the formula we get

By using the property :

∴ the expanded form of the given expression is

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