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Factorise the Following Expression. 9"X"^2-1/16"Y"^2 - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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प्रश्न

Factorise the following expression.

`9"x"^2-1/16"y"^2`

योग

उत्तर

`9"x"^2-1/16"y"^2`

= `(3"x")^2-(1/4"y")^2`

= `(3"x"+1/4"y")(3"x"-1/4"y")`  ....[∵ a2 − b2 = (a + b) (a − b)]

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अध्याय 14: Algebraic Formulae - Expansion of Squares - Practice Set 53 [पृष्ठ ९४]

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