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Kinetic Friction

If a,b ,c are...

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If a,b ,c are roots of the cubic equation x^3+3x^2-1=0 ,find a^2b+b^2c+c^2a

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a + b + c = 0

, then the value of

a^{2} (b + c) + b^{2} (c + a) + c^{2} (a + b)

a + b + c = 0

, then value of

\frac{a^{2} (b + c) + b^{2} (c + a) + c^{2} (a + b)}{a b c}

a^{2} (b + c), b^{2} (c + a), c^{2} (a + b)

are in A.P. , then

a, b, c

a^{2} (b + c), b^{2} (c + a), c^{2} (a + b)

are in AP, then

a, b, c

a^{2} (b + c) + b^{2} (c + a) + c^{2} (a + b) + 2 a b c

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