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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
9x2 – (3y + z)2
Solution
We have,
9x2 – (3y + z)2 = [(3x)2 – (3y + z)2]
= [3x – (3y + z)][3x + (3y + z)]
= [3x – 3y – z][3x + 3y + z]
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