Write the following in the expanded form: (a^2+b^2+c^2 )^2 - Vidyadip

Question

Write the following in the expanded form:
$\left(a^2+b^2+c^2\right)^2$

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Answer

We have,
$\left(a^2+b^2+c^2\right)^2=\left(a^2\right)^2+\left(b^2\right)^2+\left(c^2\right)^2+2 a^2 b^2+2 b^2 c^2+2 a^2 c^2$
${\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+2 x z\right]}$
$\left(a^2+b^2+c^2\right)^2=a^4+b^4+c^4+2 a^2 b^2+2 b^2 c^2+2 c^2 a^2$

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