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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x3 + 2abx2 + b2x
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Solution
We have,
a2x3 + 2abx2 + b2x
= x(a2x2 + 2abx + b2)
= x[(ax)2 + 2 × ax × b + b2]
= x(ax + b)2
= x(ax + b)(ax + b)
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