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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Simplify the following using the identities: $1.73 \times 1.73 - 0.27 \times 0.27$
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Answer

Let us consider the following expression:
$1.73 × 1.73 - 0.27 × 0.27$
Using the identity $(a + b) (a - b) = a^2- b^2$
we get:
$1.73 × 1.73 - 0.27 × 0.27 = 1.732 - 0.272 = (1.73 + 0.27)(1.73 - 0.27) = 2 × 1.46 = 2.92$
Thus, the answer is $2.92.$

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