Example 7 - Factorise a^2 - 2ab + b^2 - c^2 - Chapter 14 Class 9 NCERT

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Example 7 Factorise ๐‘Ž^2 โ€“ 2ab + ๐‘^2 โ€“ ๐‘^2 ๐‘Ž^2 โ€“ 2ab + ๐‘^2 โ€“ ๐‘^2 = ๐’‚^๐Ÿ+๐’ƒ^๐Ÿโˆ’๐Ÿ๐’‚๐’ƒโˆ’๐‘^2 Using (๐‘Žโˆ’๐‘)^2 = ๐‘Ž^2+๐‘^2โˆ’2๐‘Ž๐‘ = (๐‘Žโˆ’๐‘)^2 โˆ’๐‘^2 Using ๐‘ฅ^2โˆ’๐‘ฆ^2=(๐‘ฅ+๐‘ฆ)(๐‘ฅโˆ’๐‘ฆ) Here ๐‘ฅ=(๐‘Žโˆ’๐‘), y = c = ((๐‘Žโˆ’๐‘)+๐‘) ((๐‘Žโˆ’๐‘)โˆ’๐‘) = (๐’‚โˆ’๐’ƒ+๐’„) (๐’‚โˆ’๐’ƒโˆ’๐’„)

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