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Factorise : 25(2x - Y)2 - 16(X - 2y)2 - Mathematics

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Sum

factorise : 25(2x - y)2 - 16(x - 2y)2 

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Solution

25(2x - y)2 - 16(x - 2y)2

= (5 (2x - y))2 - (4 (x - 2y))2

= [5(2x - y) - 4 (x - 2y)][5(2x - y) + 4(x - 2y)]

= [10x - 5y - 4x + 8y][10x - 5y + 4x - 8y]
                                   ....[a2 - b2 = (a - b)(a + b)]

= (6x + 3y)(14x - 13y)

= 3(2x + y)(14x - 13y)

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 3.2 | Page 163
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