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Division of Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsDivision of Algebraic Expressions2 Marks
Question
Divide $a x^2-a^2$ by (ax $+a y$ )
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Answer

$\frac{\text{ax}^2-\text{ay}^2}{\text{ax}+\text{ay}}$
$=\frac{\text{a}(\text{x}^2-\text{y}^2)}{\text{ax}+\text{ay}}$
$=\frac{\text{a}(\text{x}+\text{y})(\text{x}-\text{y})}{\text{a}(\text{x}+\text{y} )}=\text{x}-\text{y}$

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