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Question
Factorise by the grouping method : (ax + by)2 + (bx - ay)2
Sum
Solution
(ax + by)2 + (bx - ay)2
= a2x2 + b2y2 + 2axby + b2x2 + a2y2 - 2bxay
= a2x2 + b2y2 + b2x2 + a2y2
= x2( a2 + b2 ) + y2( a2 + b2 )
= ( x2 + y2 )( a2 + b2 )
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Factorisation by Grouping
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