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Factorise: 75(X + Y)2 - 48(X - Y)2 - Mathematics

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Sum

Factorise: 75(x + y)2 - 48(x - y)2 

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Solution

75(x + y)2 - 48(x - y)2 

= 3[25 (x + y)2 - 16 (x - y)2]

= 3[{5 (x + y)2} - {4 (x - y)}2]

Using a2 – b2 = (a + b) (a – b)

= 3 [5(x + y) + 4(x - y)] [5(x + y) - 4(x - y)]

= 3 [5x + 5y + 4x - 4y] [5x + 5y - 4x + 4y]

= 3 (9x + y) (x + 9y)

Concept: Factorisation by Difference of Two Squares
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (C) | Q 17 | Page 159
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