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

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Athena 1 month 2021-08-18T23:02:42+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-18T23:04:00+00:00

    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

    0
    2021-08-18T23:04:28+00:00

    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

    hope it helped it

    pls mark me as brainlist

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