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Algebraic Identities [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsAlgebraic Identities [NEW]2 Marks
Question
Evaluate the following using identities:
$\big(\text{a}-0.1\big)\big(\text{a}+0.1\big)$
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Answer

We have,
$\big(\text{a}-0.1\big)\big(\text{a}+0.1\big)=\text{a}^2-(0.1)^2$ $\begin{bmatrix}\because(\text{a}-\text{b})(\text{a}+\text{b})\\\text{a}=\text{a}:\text{b}=0.1\end{bmatrix}$
$=\text{a}^2-0.01$
$(\text{a}-0.1)(\text{a}+0.1)=\text{a}^2-0.01$

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