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Expansions (Including Substitution) — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSExpansions (Including Substitution)2 Marks
Question
Use identities to evaluate : $(502)^2$
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Answer

$(502)^2$
$(502)^2= (500 + 2)^2$
We know that,
$( a + b )^2 = a^2 + b^2 + 2ab$
$\therefore ( 500 + 2 )^2$
$= 500^2 + 2^2 + 2 \times 500 \times 2$
$= 250000 + 4 + 2000$
$= 2,52,004$

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