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Factorise : 16(5x + 4)2 -9(3x - 2)2 - Mathematics

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Sum

factorise : 16(5x + 4)2 -9(3x - 2)2 

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Solution

16(5x + 4)2 -9(3x - 2)2 

= (4(5x + y))2 - (3(3x - 2))2 

= [4 (5x + 4) - 3 (3x - 2)] [4(5x + 4) +3(3x - 2)]
  .....[a2 - b2 = (a - b)(a + b)]

= (20x + 16 - 9x + 6)(20x + 16 + 9x - 6)

= (11x + 22)(29x + 10)

= 11 (x + 2)(29x + 10)

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 3.3 | Page 163
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