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Factorise the expression and divide them as directed. (5p2 − 25p + 20) ÷ (p − 1) - Mathematics

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Question

Factorise the expression and divide them as directed.

(5p2 − 25p + 20) ÷ (p − 1)

Sum

Solution

5p2 − 25p + 20 = 5(p2 − 5p + 4)

= 5[p2 − p − 4p + 4]

= 5[p(p −1) − 4(p −1)]

= 5(p −1) (p − 4)

 = (5p2 − 25p + 20) ÷ (p − 1)

= `(5(p-1)(p-4))/(p-1)`

= 5(p − 4)

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Chapter 14: Factorisation - Exercise 14.3 [Page 227]

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NCERT Mathematics [English] Class 8
Chapter 14 Factorisation
Exercise 14.3 | Q 5.3 | Page 227

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