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Factorise the following using the identity a2 – b2 = (a + b)(a – b). 136a2b2-1649b2c2 - Mathematics

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प्रश्न

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

`1/36a^2b^2 - 16/49b^2c^2`

योग

उत्तर

We have,

`1/36a^2b^2 - 16/49b^2c^2 = ((ab)/6)^2 - ((4bc)/7)^2`

= `((ab)/6 + (4bc)/7)((ab)/6 - (4bc)/7)`

= `b^2(a/6 + (4c)/7)(a/6 - (4c)/7)`

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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. (xvii) | पृष्ठ २३५
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