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Factorise the following using the identity a2 – b2 = (a + b)(a – b). x3y9-xy316 - Mathematics

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प्रश्न

Factorise the following using the identity a2 – b2 = (a + b)(a – b).

`(x^3y)/9 - (xy^3)/16`

योग

उत्तर

We have,

`(x^3y)/9 - (xy^3)/16 = xy(x^2/9 - y^2/16)`

= `xy[(x/3)^2 - (y/4)^2]`

= `xy(x/3 + y/4)(x/3 - y/4)`

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अध्याय 7: Algebraic Expression, Identities and Factorisation - Exercise [पृष्ठ २३५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 92. (xv) | पृष्ठ २३५
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