Expand:
$(3x\ +\ 4y\ -\ 5z)^{2}$

Given: $(3x\ +\ 4y\ -\ 5z)^{2}$

To do: Here we have to expand the given expression $(3x\ +\ 4y\ -\ 5z)^{2}$

Solution:

$(3x\ +\ 4y\ -\ 5z)^{2}$

Using identity $( a\ +\ b\ +\ c)^{2} \ =\ a^{2} \ +\ b^{2} \ +\ c^{2} \ +\ 2ab\ +\ 2bc\ +\ 2ac$

$=\ ( 3x)^{2} \ +\ ( 4y)^{2} \ +\ ( -5z)^{2} \ +\ 2( 3x)( 4y) \ -\ 2( 4y)( 5z) \ -\ 2( 5z)( 3x)$

$\mathbf{=\ 9x^{2} \ +\ 16y^{2} \ +\ 25z^{2} \ +\ 24xy\ -\ 40yz\ -\ 30xz}$

So, the answer is $9x^{2} \ +\ 16y^{2} \ +\ 25z^{2} \ +\ 24xy\ -\ 40yz\ -\ 30xz$.

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Simply Easy Learning

Updated on: 10-Oct-2022

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