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Factorization Of Algebraic Expressions [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions [NEW]2 Marks
Question
If a + b + c = 0, then write the value of a3 + b3 + c3.
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Answer

Recall the formula
a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
When, (a + b + c) = 0, we have
a3 + b3 + c3 - 3abc = 0.(a2 + b2 + c2 - ab - bc - ca)
= 0
a3 + b3 + c3 - 3abc = 0
⇒ a3 + b3 + c3 = 3abc

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