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Factorise : (Ac + By)2 + (Bx - Ay)2 - Mathematics

Sum

factorise : (ac + by)2 + (bx - ay)2

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Solution

(ax + by)2 + (bx - ay)2

= a2x2 + b2y2 + 2abxy + b2x2 + a2y2 - 2abxy

= a2x2 + b2y2 + b2x2 + a2y2

= a2x2 + a2y2 + b2x2 + b2y2 

= a2 (x2 + y2) + b2(x2 + y2)

= (x2 + y2)(a2 + b2

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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (F) | Q 2.5 | Page 163
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