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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abxy + b2y2
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Solution
We have,
a2x2 + 2abxy + b2y2
= (ax)2 + 2 × ax × by + (by)2
= (ax + by)2
= (ax + by)(ax + by)
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