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Polynomials — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSPolynomials2 Marks
Question
Evaluate: $(104)^3$ using a suitable identity.
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Answer

$(104)^3 = (100 + 4)^3$
Using identity $(x + y)^3 = x^3 + 3xy(x + y) + y^3$
We get,
$(100 + 4)^3 = (100)^3 + 3  \times  100 \times   4 (100 + 4) + 4^3$
$= 10,00 000 + 1,200  \times  104 + 64$
$= 10,00,000 + 1,24,800 + 64$
$= 11,24,864$

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