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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)
Concept: Factorisation by Taking Out Common Factors
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