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Question
Expand (ax + by)2
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Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2.
(ax + by)2
= (ax)2 + 2 × (ax) × (by) + (by)2
= a2x2 + 2axby + b2y2
= a2x2 + 2abxy + b2y2
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