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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Evaluate the following: $994 \times 1006$
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Answer

Here, we will use the identity $(x + a)(x + b) = x^2+ (a + b)x + ab.$
$994 × 1006$
$= (1000 - 6) × (1000 + 6)$
$= 1000^2+ (6 - 6) × 1000 - 6 × 6$
$= 1000000 - 36$
$= 999964$

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