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Factor of Polynomials

If a2+b2+c2-a...

Question

If a² + b² + c² - ab - bc - ca = 0 then which of following is true.

A

a = b

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B

a = c

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C

b = c

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D

a = b = c

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Solution

The correct option is D
a = b = c

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Similar questions

a + b + c = 0

\frac{a^{2}}{b c} + \frac{b^{2}}{c a} + \frac{c^{2}}{a b} =

a + b + c = 0

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

Q. If a+b+c=0 what is the value of

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

a b + b c + c a = 0

then prove that

\frac{1}{a^{2} - b c} + \frac{1}{b^{2} - c a} + \frac{1}{c^{2} - a b} = 0

a b + b c + c a = 0

, then the value of

\frac{1}{a^{2} - b c} + \frac{1}{b^{2} - c a} + \frac{1}{c^{2} - a b}

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