# As easy as...

Algebra Level 4

If $$\quad\dfrac{a}{b+c+d}+\dfrac{b}{a+c+d}+\dfrac{c}{a+b+d}+\dfrac{d}{a+b+c}=1,$$ then what is the value of

$\dfrac{a^2}{b+c+d}+\dfrac{b^2}{a+c+d}+\dfrac{c^2}{a+b+d}+\dfrac{d^2}{a+b+c}?$

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