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Factorise: 15(2x - Y)2 - 16(2x - Y) - 15 - Mathematics

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Sum

Factorise: 15(2x - y)2 - 16(2x - y) - 15  

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Solution

15(2x - y)2 - 16(2x - y) - 15  

= Let 2x - y = a, then

15a2 - 16a - 15

= 15a2 - 25a + 9a - 15   
    ...{15 × (-15) = -225 , -225 = -25 × 9 , -16 = -25 + 9}

= 5a (3a - 5) + 3(3a - 5)

= (3a - 5)(5a + 3)

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

= (6x - 3y - 5)(10x - 5y + 3)

Concept: Factorisation by Difference of Two Squares
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (F) | Q 8.6 | Page 163
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