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Factorise the expression and divide them as directed: (x3 + x2 – 132x) ÷ x(x – 11) - Mathematics

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प्रश्न

Factorise the expression and divide them as directed:

(x3 + x2 – 132x) ÷ x(x – 11)

योग

उत्तर

We have,

(x3 + x2 – 132x) ÷ x(x – 11)

= `(x^3 + x^2 - 132x)/(x(x - 11))`

= `(x(x^2 + x - 132))/(x(x - 11))`

= `(x^2 + 12x - 11x - 132)/(x - 11)`

= `(x(x + 12) - 11(x + 12))/(x - 11)`

= `((x + 12)(x - 11))/(x - 11)`

= x + 12

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अध्याय 7: Algebraic Expression, Identities and Factorisation - Exercise [पृष्ठ २३६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 96. (ii) | पृष्ठ २३६
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