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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abxy + b2y2
Sum
Solution
We have,
a2x2 + 2abxy + b2y2
= (ax)2 + 2 · ax · by + (by)2
= (ax + by)2
= (ax + by)(ax + by)
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]
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