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Factorise the Following: 6 - 5x + 5y + (X - Y)2 - Mathematics

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Question

Factorise the following:
6 - 5x + 5y + (x - y)2

Sum

Solution

6 - 5x + 5y + (x - y)2
= 6 - 5(x - y) + (x - )2
= 6 - 3(x - y) - 2(x - y) + (x - y)2
= 3[2 - (x - y)] - (x - y)[2 - (x - y)]
= 3(2 - x + y) - (x - y)(2 - x + y)
= (2 - x + y)(3 - x + y).

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Chapter 5: Factorisation - Exercise 5.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 5 Factorisation
Exercise 5.2 | Q 4.4
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